Chapter 2 Summarising Numerical Data

1)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The median value is higher than the mean when the data is skewed to the left, meaning that there are a few extremely high values that pull the mean up. In this case, the majority of the data is clustered towards the lower end, causing the median to be higher than the mean.

Explanation

The median value is higher than the mean when the data is skewed to the left, meaning that there are a few extremely high values that pull the mean up. In this case, the majority of the data is clustered towards the lower end, causing the median to be higher than the mean.

2)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

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Explanation

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3)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean value is higher than the median because the mean is calculated by adding up all the values and dividing by the total number of values, while the median is the middle value when the data is arranged in ascending or descending order. If the data is skewed towards higher values, the mean will be higher than the median.

Explanation

The mean value is higher than the median because the mean is calculated by adding up all the values and dividing by the total number of values, while the median is the middle value when the data is arranged in ascending or descending order. If the data is skewed towards higher values, the mean will be higher than the median.

4)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean is the average of all the values in a dataset, while the median is the middle value when the data is arranged in ascending or descending order. If the mean and median are approximately the same, it suggests that the dataset is symmetrically distributed without any extreme outliers.

Explanation

The mean is the average of all the values in a dataset, while the median is the middle value when the data is arranged in ascending or descending order. If the mean and median are approximately the same, it suggests that the dataset is symmetrically distributed without any extreme outliers.

5)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean is calculated by summing all the values in a dataset and dividing by the number of values, while the median is the middle value when the data is arranged in ascending or descending order. If the mean value is higher than the median, it suggests that there are some larger values in the dataset that are pulling the mean upwards, indicating a right-skewed distribution.

Explanation

The mean is calculated by summing all the values in a dataset and dividing by the number of values, while the median is the middle value when the data is arranged in ascending or descending order. If the mean value is higher than the median, it suggests that there are some larger values in the dataset that are pulling the mean upwards, indicating a right-skewed distribution.

6)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean is calculated by summing up all the values in a dataset and then dividing by the total number of values. The median is the middle value in a dataset when it is arranged in ascending or descending order. If the mean is higher than the median, it suggests that there are some larger values in the dataset that are pulling the mean up. This indicates that the distribution of the data is skewed towards the higher values. Therefore, the statement "The mean value is higher than the median" is most correct.

Explanation

The mean is calculated by summing up all the values in a dataset and then dividing by the total number of values. The median is the middle value in a dataset when it is arranged in ascending or descending order. If the mean is higher than the median, it suggests that there are some larger values in the dataset that are pulling the mean up. This indicates that the distribution of the data is skewed towards the higher values. Therefore, the statement "The mean value is higher than the median" is most correct.

7)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean value is higher than the median when the data set has outliers or extreme values that pull the mean away from the center. In this case, the mean is influenced by these extreme values, causing it to be higher than the median. The median, on the other hand, is less affected by outliers and represents the middle value of the data set. Therefore, the statement "The mean value is higher than the median" is most correct based on the given information.

Explanation

The mean value is higher than the median when the data set has outliers or extreme values that pull the mean away from the center. In this case, the mean is influenced by these extreme values, causing it to be higher than the median. The median, on the other hand, is less affected by outliers and represents the middle value of the data set. Therefore, the statement "The mean value is higher than the median" is most correct based on the given information.

8)

From the image above, which statement is most correct?

The mean and mode are different

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean is the average value of a set of numbers, while the median is the middle value when the numbers are arranged in ascending or descending order. If the mean and median are approximately the same, it suggests that the data is symmetrically distributed. This means that there are an equal number of values above and below the middle value, resulting in a similar average and middle value.

Explanation

The mean is the average value of a set of numbers, while the median is the middle value when the numbers are arranged in ascending or descending order. If the mean and median are approximately the same, it suggests that the data is symmetrically distributed. This means that there are an equal number of values above and below the middle value, resulting in a similar average and middle value.

9)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The median value is higher than the mean when the data is skewed to the left, meaning that there are a few extremely low values that pull the mean down. In this case, the majority of the values are higher than the mean, causing the median to be higher.

Explanation

The median value is higher than the mean when the data is skewed to the left, meaning that there are a few extremely low values that pull the mean down. In this case, the majority of the values are higher than the mean, causing the median to be higher.

10)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The median value is higher than the mean when there are a few extremely high values in the data set. This is because the median is not affected by outliers, while the mean is influenced by them. Therefore, if the median is higher than the mean, it suggests that there are some unusually high values pulling the median up.

Explanation

The median value is higher than the mean when there are a few extremely high values in the data set. This is because the median is not affected by outliers, while the mean is influenced by them. Therefore, if the median is higher than the mean, it suggests that there are some unusually high values pulling the median up.

11)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean value is higher than the median because the mean is calculated by summing all the values and dividing by the total number of values, while the median is the middle value in a sorted list of values. If the distribution is skewed towards higher values, the mean will be pulled up, resulting in a higher mean than the median.

Explanation

The mean value is higher than the median because the mean is calculated by summing all the values and dividing by the total number of values, while the median is the middle value in a sorted list of values. If the distribution is skewed towards higher values, the mean will be pulled up, resulting in a higher mean than the median.

12) I collected data about age of university students from 17 participants. I added the values together and they totalled 340. For this set of data, what is the value of :

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Explanation

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13) I collected data about shirt size for women from 9 participants. I added the values together and they totalled 108 For this set of data, what is the value of :

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Explanation

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Submit

14) I collected data about average temperature in spring from 30 participants. I added the values together and they totalled 540 For this set of data, what is the value of :

The value of 18 represents the average temperature in spring collected from the participants. The total sum of the temperatures collected from the 30 participants is 540, which means that the average temperature can be calculated by dividing the total sum by the number of participants (30). Therefore, the average temperature in spring is 18.

Explanation

The value of 18 represents the average temperature in spring collected from the participants. The total sum of the temperatures collected from the 30 participants is 540, which means that the average temperature can be calculated by dividing the total sum by the number of participants (30). Therefore, the average temperature in spring is 18.

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15) I collected data about height of a junior sports team from 30 participants. I added the values together and they totalled 4950 For this set of data, what is the value of :

The value of 165 represents the height of one participant in the junior sports team. The data collected from 30 participants was added together to obtain a total of 4950, which means that the average height of the team is 165.

Explanation

The value of 165 represents the height of one participant in the junior sports team. The data collected from 30 participants was added together to obtain a total of 4950, which means that the average height of the team is 165.

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16) I collected data about number of radios in a house from 40 participants. I added the values together and they totalled 360 For this set of data, what is the value of :

The value of 9 represents the number of radios in a house. The data collected from 40 participants was added together and the total was 360. This means that the sum of all the individual values for the number of radios in each house is 360. Therefore, the value of 9 represents one of the individual data points, indicating that there were 9 radios in one of the houses.

Explanation

The value of 9 represents the number of radios in a house. The data collected from 40 participants was added together and the total was 360. This means that the sum of all the individual values for the number of radios in each house is 360. Therefore, the value of 9 represents one of the individual data points, indicating that there were 9 radios in one of the houses.

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17) I collected data about weight of sheep from 20 participants. I added the values together and they totalled 1440 For this set of data, what is the value of :

The value of 72 is the weight of a single sheep in the given set of data. This can be determined by dividing the total weight of all the sheep (1440) by the number of sheep (20).

Explanation

The value of 72 is the weight of a single sheep in the given set of data. This can be determined by dividing the total weight of all the sheep (1440) by the number of sheep (20).

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18) I collected data about height of potted plants from 80 participants. I added the values together and they totalled 1200 For this set of data, what is the value of :

The value of 15 represents the height of a potted plant in the collected data. Since the total height of all the potted plants is 1200, it implies that there is at least one potted plant with a height of 15 in the dataset.

Explanation

The value of 15 represents the height of a potted plant in the collected data. Since the total height of all the potted plants is 1200, it implies that there is at least one potted plant with a height of 15 in the dataset.

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19) I collected data about number of people in a family from 22 participants. I added the values together and they totalled 110 For this set of data, what is the value of :

The value of 5 is the number of people in a family. Since the total number of people in the 22 families is 110, it means that on average each family consists of 5 people.

Explanation

The value of 5 is the number of people in a family. Since the total number of people in the 22 families is 110, it means that on average each family consists of 5 people.

Submit

20) I collected data about average temperature in winter from 30 participants. I added the values together and they totalled 360 For this set of data, what is the value of :

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Explanation

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Submit

21) I collected data about age of graduate from a masters degree from 15 participants. I added the values together and they totalled 375 For this set of data, what is the value of :

The value of 25 refers to the age of a graduate from a master's degree program. This information is not explicitly stated in the question, but it can be inferred based on the context of collecting data about the age of graduates. Since the total of the collected data is 375, it is reasonable to assume that one of the participants in the study is 25 years old.

Explanation

The value of 25 refers to the age of a graduate from a master's degree program. This information is not explicitly stated in the question, but it can be inferred based on the context of collecting data about the age of graduates. Since the total of the collected data is 375, it is reasonable to assume that one of the participants in the study is 25 years old.

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22) I collected data about age of university students from 17 participants. I added the values together and they totalled 340 For this set of data, what is the value of :

The value of 340 is the sum of the ages of the 17 university students.

Explanation

The value of 340 is the sum of the ages of the 17 university students.

Submit

23) I collected data about average temperature in spring from 30 participants. I added the values together and they totalled 540 For this set of data, what is the value of :

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Explanation

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Submit

24) I collected data about height of potted plants from 80 participants. I added the values together and they totalled 1200 For this set of data, what is the value of :

The value of 1200 is the sum of the heights of the potted plants collected from the 80 participants.

Explanation

The value of 1200 is the sum of the heights of the potted plants collected from the 80 participants.

Submit

25) I collected data about number of people in a family from 22 participants. I added the values together and they totalled 110 For this set of data, what is the value of :

The value of 110 is the total sum of the number of people in a family collected from the 22 participants.

Explanation

The value of 110 is the total sum of the number of people in a family collected from the 22 participants.

Submit

26) I collected data about age of graduate from a masters degree from 15 participants. I added the values together and they totalled 375 For this set of data, what is the value of :

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Explanation

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Submit

31) I collected data about age of graduate from a masters degree from 15 participants. I found the mean was 25. For this set of data, what is the value of :

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Explanation

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Submit

40) I collected data about age of graduate from a masters degree from 15 participants. I found the mean was 25. For this set of data, what is the value of :

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Explanation

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Submit

44) I collected data about height of a junior sports team from 30 participants. I found the mean was 165. For this set of data, what is the value of :

The value of 30 represents the number of participants in the junior sports team. The question is asking for the value of a specific variable, which in this case is the number of participants. Since the given information states that there were 30 participants, the answer is 30.

Explanation

The value of 30 represents the number of participants in the junior sports team. The question is asking for the value of a specific variable, which in this case is the number of participants. Since the given information states that there were 30 participants, the answer is 30.

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45) I collected data about number of radios in a house from 40 participants. I found the mean was 9. For this set of data, what is the value of :

The value of 40 is the total number of participants who provided data on the number of radios in a house. This value is not related to the mean of 9, but rather represents the total number of participants in the study.

Explanation

The value of 40 is the total number of participants who provided data on the number of radios in a house. This value is not related to the mean of 9, but rather represents the total number of participants in the study.

Submit

47) I collected data about height of potted plants from 80 participants. I found the mean was 15. For this set of data, what is the value of :

The value of 80 is the total number of participants who provided data about the height of potted plants.

Explanation

The value of 80 is the total number of participants who provided data about the height of potted plants.

Submit

49) I collected data about average temperature in winter from 30 participants. I found the mean was 12. For this set of data, what is the value of :

The value of 30 is the number of participants from whom the data was collected. It is not related to the average temperature or any other statistical measure.

Explanation

The value of 30 is the number of participants from whom the data was collected. It is not related to the average temperature or any other statistical measure.

Submit

50) I collected data about age of graduate from a masters degree from 15 participants. I found the mean was 25. For this set of data, what is the value of :

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Explanation

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Submit

51) I collected data about age of university students from 17 participants. I added the values together and they totalled 340 For this set of data, what is the value of :

The value of 17 in this context refers to the number of participants who provided data about their age. Since the question states that there were 17 participants, the value of 17 is simply the number of participants in this dataset.

Explanation

The value of 17 in this context refers to the number of participants who provided data about their age. Since the question states that there were 17 participants, the value of 17 is simply the number of participants in this dataset.

Submit

52) I collected data about shirt size for women from 9 participants. I added the values together and they totalled 108 For this set of data, what is the value of :

The value of 9 is the number of participants in the data set. The question is asking for the value of 9, which is simply 9 itself.

Explanation

The value of 9 is the number of participants in the data set. The question is asking for the value of 9, which is simply 9 itself.

Submit

53) I collected data about average temperature in spring from 30 participants. I added the values together and they totalled 540 For this set of data, what is the value of :

The value of 30 represents the number of participants who provided data on the average temperature in spring. Since the question specifically mentions that data was collected from 30 participants, the value of 30 is the correct answer.

Explanation

The value of 30 represents the number of participants who provided data on the average temperature in spring. Since the question specifically mentions that data was collected from 30 participants, the value of 30 is the correct answer.

Submit

54) I collected data about height of a junior sports team from 30 participants. I added the values together and they totalled 4950 For this set of data, what is the value of :

The value of 30 represents the number of participants in the junior sports team. Since the question states that data was collected from 30 participants, it makes sense that the value of 30 is the correct answer.

Explanation

The value of 30 represents the number of participants in the junior sports team. Since the question states that data was collected from 30 participants, it makes sense that the value of 30 is the correct answer.

Submit

55) I collected data about number of radios in a house from 40 participants. I added the values together and they totalled 360 For this set of data, what is the value of :

The value of 40 in this context refers to the number of participants who provided data about the number of radios in a house. Since the question states that there were 40 participants, the value of 40 is the correct answer.

Explanation

The value of 40 in this context refers to the number of participants who provided data about the number of radios in a house. Since the question states that there were 40 participants, the value of 40 is the correct answer.

Submit

56) I collected data about weight of sheep from 20 participants. I added the values together and they totalled 1440 For this set of data, what is the value of :

The value of 20 refers to the number of participants who provided data about the weight of sheep. Since the question states that data was collected from 20 participants, the value of 20 is the correct answer.

Explanation

The value of 20 refers to the number of participants who provided data about the weight of sheep. Since the question states that data was collected from 20 participants, the value of 20 is the correct answer.

Submit

57) I collected data about height of potted plants from 80 participants. I added the values together and they totalled 1200 For this set of data, what is the value of :

The value of 80 represents the number of participants who provided data about the height of potted plants. This means that there were 80 individuals who contributed to the total sum of 1200.

Explanation

The value of 80 represents the number of participants who provided data about the height of potted plants. This means that there were 80 individuals who contributed to the total sum of 1200.

Submit

58) I collected data about number of people in a family from 22 participants. I added the values together and they totalled 110 For this set of data, what is the value of :

The value of 22 is the number of participants in the data set. Since it is stated that the data was collected from 22 participants, the value of 22 represents the total number of people in the family.

Explanation

The value of 22 is the number of participants in the data set. Since it is stated that the data was collected from 22 participants, the value of 22 represents the total number of people in the family.

Submit

59) I collected data about average temperature in winter from 30 participants. I added the values together and they totalled 360 For this set of data, what is the value of :

The value of 30 represents the number of participants who provided data about average temperature in winter. Since the question states that data was collected from 30 participants, the value of 30 is the correct answer.

Explanation

The value of 30 represents the number of participants who provided data about average temperature in winter. Since the question states that data was collected from 30 participants, the value of 30 is the correct answer.

Submit

60) I collected data about age of graduate from a masters degree from 15 participants. I added the values together and they totalled 375 For this set of data, what is the value of :

The value of 15 in this context refers to the number of participants from whom data about the age of graduates was collected. The statement "15" simply indicates that there were 15 participants in the study.

Explanation

The value of 15 in this context refers to the number of participants from whom data about the age of graduates was collected. The statement "15" simply indicates that there were 15 participants in the study.

Submit

61) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 How many students took part?

Count the number of items in the data set.

Explanation

Count the number of items in the data set.

Submit

62) The following data was collected regarding the ages of students taking part in a holiday programme. Numbers are in years. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 What is the median age of the students in years?

Find the middle value ... remember, find n, then add 1 ... and divide by 2. That will tell you which term is the middle term. The middle term is the median. If n is an odd number, then the median may fall between two numbers. Just find the average of those two numbers.

Explanation

Find the middle value ... remember, find n, then add 1 ... and divide by 2. That will tell you which term is the middle term. The middle term is the median. If n is an odd number, then the median may fall between two numbers. Just find the average of those two numbers.

Submit

63) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 What is the range for this data set?

Range = maximum number - minimum number

Explanation

Range = maximum number - minimum number

Submit

64) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 What is the interquartile range for this data set?

Interquartile range (IQR) = Q3 - Q1

Explanation

Interquartile range (IQR) = Q3 - Q1

Submit

65) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 What is the value for Q1 for this data set?

The value for Q1, or the first quartile, represents the median of the lower half of the data set. To find it, we need to arrange the data in ascending order:

10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18

Since there are 26 values, the median is the 13th value, which is 13. Therefore, the value for Q1 is also 13.

Explanation

The value for Q1, or the first quartile, represents the median of the lower half of the data set. To find it, we need to arrange the data in ascending order:

10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18

Since there are 26 values, the median is the 13th value, which is 13. Therefore, the value for Q1 is also 13.

Submit

66) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 What is the value for Q3 range for this data set?

Find the middle of the upper half. Same technique as finding the median.

Explanation

Find the middle of the upper half. Same technique as finding the median.

Submit

67) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 To detect if there are any outliers, we need to define our fences. What is the upper fence for this data?

multiply the IQR by 1.5 and then add it to Q3

Explanation

multiply the IQR by 1.5 and then add it to Q3

Submit

68) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 To detect if there are any outliers, we need to define our fences. What is the lower fence for this data?

multiply the IQR by 1.5 and subtract it from Q1

Explanation

multiply the IQR by 1.5 and subtract it from Q1

Submit

69) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 Are there any outliers in this data set?

There are no outliers in this data set because all the ages fall within a reasonable range and there are no extreme values that are significantly different from the rest of the data.

Explanation

There are no outliers in this data set because all the ages fall within a reasonable range and there are no extreme values that are significantly different from the rest of the data.

Submit

70) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 How old is the oldest student?

The oldest student in the group is 18 years old, as indicated by the highest value in the given data set.

Explanation

The oldest student in the group is 18 years old, as indicated by the highest value in the given data set.

Submit

71) The following data was collected regarding the ages of students taking part in a holiday programme. 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18 How old is the youngest student?

The youngest student in this data set is 10 years old. This can be determined by looking at the lowest value in the list, which is 10.

Explanation

The youngest student in this data set is 10 years old. This can be determined by looking at the lowest value in the list, which is 10.

Submit

72) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 How many students took part?

Count the number of items in the data set.

Explanation

Count the number of items in the data set.

Submit

73) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What is the median scored for the test?

Find the middle value ... remember, find n, then add 1 ... and divide by 2. That will tell you which term is the middle term. The middle term is the median. If n is an odd number, then the median may fall between two numbers. Just find the average of those two numbers.

Explanation

Find the middle value ... remember, find n, then add 1 ... and divide by 2. That will tell you which term is the middle term. The middle term is the median. If n is an odd number, then the median may fall between two numbers. Just find the average of those two numbers.

Submit

74) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What is the range for this data set?

Range = maximum number - minimum number

Explanation

Range = maximum number - minimum number

Submit

75) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What is the interquartile range for this data set?

Interquartile range (IQR) = Q3 - Q1

Explanation

Interquartile range (IQR) = Q3 - Q1

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76) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What is the value for Q1 for this data set?

The value for Q1, or the first quartile, is the median of the lower half of the data set. In this case, the data set is already sorted in ascending order, so we can simply find the middle value of the lower half. Since there are 23 values in total, the lower half would consist of the first 11 values. The middle value of the lower half is 72, which is the first quartile.

Explanation

The value for Q1, or the first quartile, is the median of the lower half of the data set. In this case, the data set is already sorted in ascending order, so we can simply find the middle value of the lower half. Since there are 23 values in total, the lower half would consist of the first 11 values. The middle value of the lower half is 72, which is the first quartile.

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77) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What is the value for Q3 range for this data set?

Find the middle of the upper half. Same technique as finding the median.

Explanation

Find the middle of the upper half. Same technique as finding the median.

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78) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 To detect if there are any outliers, we need to define our fences. What is the upper fence for this data?

multiply the IQR by 1.5 and then add it to Q3

Explanation

multiply the IQR by 1.5 and then add it to Q3

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79) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 To detect if there are any outliers, we need to define our fences. What is the lower fence for this data?

multiply the IQR by 1.5 and subtract it from Q1

Explanation

multiply the IQR by 1.5 and subtract it from Q1

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80) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 Are there any outliers in this data set?

Since the question asks if there are any outliers in the data set, the answer "No" indicates that there are no values that significantly deviate from the rest of the data. An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In this case, without any further information or criteria to define what would be considered an outlier, we can infer that there are no extreme or unusual values in the given data set.

Explanation

Since the question asks if there are any outliers in the data set, the answer "No" indicates that there are no values that significantly deviate from the rest of the data. An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In this case, without any further information or criteria to define what would be considered an outlier, we can infer that there are no extreme or unusual values in the given data set.

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81) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What was the highest score?

The highest score in the recent geography test was 96. This can be determined by looking at the list of percentages and identifying the highest number, which in this case is 96.

Explanation

The highest score in the recent geography test was 96. This can be determined by looking at the list of percentages and identifying the highest number, which in this case is 96.

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82) The following percentages were received in a recent geography test. 72, 67, 68, 72, 78, 83, 86, 75, 65, 77, 96, 83, 77, 84, 89, 89, 76, 81, 87, 67, 91, 77, 70 What was the lowest mark?

The lowest mark in the recent geography test was 65.

Explanation

The lowest mark in the recent geography test was 65.

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83)

From the image above, which statement is most correct?

The mean and mode are the same

The median value is higher than the mean

The mean value is higher than the median

The mean and median are approximately the same

The mean value is higher than the median because the mean is calculated by summing all the values and dividing by the total number of values, while the median is the middle value when the data is arranged in ascending or descending order. If the data set has outliers or extreme values, it can skew the mean, causing it to be higher or lower than the median. Therefore, in this case, the mean value is higher than the median.

Explanation

The mean value is higher than the median because the mean is calculated by summing all the values and dividing by the total number of values, while the median is the middle value when the data is arranged in ascending or descending order. If the data set has outliers or extreme values, it can skew the mean, causing it to be higher or lower than the median. Therefore, in this case, the mean value is higher than the median.

84) 2, 9, 5, 9, 7, 8Using the six numbers above, match the number to the measure of centre.

Mean

Median

Mode

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85) 1, 10, 4, 7, 6, 4Using the six numbers above, match the number to the measure of centre.

Mean

Median

Mode

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86) 4, 8, 6, 5, 4, 4Using the six numbers above, match the number to the measure of centre.

Mean

Median

Mode

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87) 1, 10, 3, 9, 8, 9Using the six numbers above, match the number to the measure of centre.

Mean

Median

Mode

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88) 8, 14, 8, 12, 9, 10Using the six numbers above, match the number to the measure of centre.

Mean

Median

Mode

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89)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

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90)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

Submit

91)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

Submit

92)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

Submit

93)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

Submit

94)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

Submit

95)

From the graph above, place the measures of centre in order from highest to lowest

Highest Value

Middle Value

Lowest Value

Submit

96) I collected data about shirt size for women from 9 participants. I added the values together and they totalled 108 For this set of data, what is the value of :

The value of 108 is the sum of the shirt sizes for women collected from the 9 participants.

Explanation

The value of 108 is the sum of the shirt sizes for women collected from the 9 participants.

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97) I collected data about height of a junior sports team from 30 participants. I added the values together and they totalled 4950 For this set of data, what is the value of :

The value of 4950 is the sum of the heights of the 30 participants in the junior sports team.

Explanation

The value of 4950 is the sum of the heights of the 30 participants in the junior sports team.

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98) I collected data about number of radios in a house from 40 participants. I added the values together and they totalled 360 For this set of data, what is the value of :

The value of 360 is the total sum of the number of radios in a house collected from the 40 participants. Each participant's data was added together, resulting in a total of 360 radios.

Explanation

The value of 360 is the total sum of the number of radios in a house collected from the 40 participants. Each participant's data was added together, resulting in a total of 360 radios.

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99) I collected data about weight of sheep from 20 participants. I added the values together and they totalled 1440 For this set of data, what is the value of :

The value of 1440 is the total sum of the weights of the sheep collected from the 20 participants.

Explanation

The value of 1440 is the total sum of the weights of the sheep collected from the 20 participants.

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100) I collected data about average temperature in winter from 30 participants. I added the values together and they totalled 360 For this set of data, what is the value of :

not-available-via-ai

Explanation

not-available-via-ai

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107) The scores below show the strike rates (runs/100 balls) for 18 one-day cricketers.54, 57, 61, 66, 70, 85, 91, 54, 58, 58, 59, 59, 61, 63, 69, 63, 64, 72

How many outliers?

Median

Range

IQR

Maximum

Minimum

n =

Q1

Q3

Upper Fence

Lower Fence

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108) The figures below are the heights of 14 children who are cared for in a child care centre :76.0, 78.5, 78.6, 80.0, 80.5, 81.2, 82.8, 83.2, 83.4, 83.7, 85.8, 86.6, 87.3, 89.8

83

13.8

5.8

89.8

76

14

80

85.8

94.5

71.3

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109) The figures below are the heights of 11 saplings after one year of growth :170, 180, 181, 182, 182, 183, 183, 185, 187, 187, 190

20

6

190

170

11

181

187

196

172

183

1

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110) 18, 15, 6, 8. 19, 11, 17, 18Place the 8 values above in order and match the following. See if you can do it without a calculator. Go on ... there's only eight of them.

13

8.5

19

6

8

9.5

18

30.75

-3.25

16

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111) 28, 25, 16, 18. 29, 21, 27, 28Place the 8 values above in order and match the following. See if you can do it without a calculator. Go on ... there's only eight of 'em.

13

8.5

29

16

8

19.5

28

40.75

6.75

26

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