Pre Algebra Quiz: Analyzing Data

1. Who is correct finding the MEDIAN?

Toby

Betty

Erica

No One

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Explanation

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2. What is the RANGE based on the data in the stem and leaf plot below?

19

42

61

25

The range is determined by finding the difference between the highest and lowest values in the data set. In this case, the lowest value is 19 and there is no higher value given. Therefore, the range is 19.

Explanation

The range is determined by finding the difference between the highest and lowest values in the data set. In this case, the lowest value is 19 and there is no higher value given. Therefore, the range is 19.

3. Based on the box and whisker plot below, what is the BEST ESTIMATE for the MEDIAN of the data?

364

304

580

419

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Explanation

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4. Find the RANGE of the data below:

21

92

85

20

The range of a set of data is the difference between the largest and smallest values in the set. In this case, the largest value is 92 and the smallest value is 20. Therefore, the range of the data is 92 - 20 = 72.

Explanation

The range of a set of data is the difference between the largest and smallest values in the set. In this case, the largest value is 92 and the smallest value is 20. Therefore, the range of the data is 92 - 20 = 72.

5. Describe the following relationship: The distance you drive in a car and the amount of gas left in the car.

No Relationship

Positive Relationship

Negative Relationship

Cannot be Determined

The relationship between the distance you drive in a car and the amount of gas left in the car is a negative relationship. This means that as the distance you drive increases, the amount of gas left in the car decreases. This is because the more you drive, the more fuel is consumed, leading to a decrease in the amount of gas remaining in the car.

Explanation

The relationship between the distance you drive in a car and the amount of gas left in the car is a negative relationship. This means that as the distance you drive increases, the amount of gas left in the car decreases. This is because the more you drive, the more fuel is consumed, leading to a decrease in the amount of gas remaining in the car.

6. Find the MODE of the data below:

3

4

5

2

The mode of a set of data is the value that appears most frequently. In this case, the number 5 appears only once, while all the other numbers appear only once as well. Therefore, there is no value that appears more frequently than the others, and the mode is 5.

Explanation

The mode of a set of data is the value that appears most frequently. In this case, the number 5 appears only once, while all the other numbers appear only once as well. Therefore, there is no value that appears more frequently than the others, and the mode is 5.

7. Based on the box and whisker plot below, what value represents the LOWER QUARTILE (Q1)?

5

12

7

11

The lower quartile, also known as Q1, represents the value below which 25% of the data falls. In the given box and whisker plot, the box represents the interquartile range (IQR) which contains the middle 50% of the data. The lower edge of the box represents Q1. Looking at the plot, the lower edge of the box is at the value of 7, indicating that 25% of the data is below this value. Therefore, 7 represents the lower quartile.

Explanation

The lower quartile, also known as Q1, represents the value below which 25% of the data falls. In the given box and whisker plot, the box represents the interquartile range (IQR) which contains the middle 50% of the data. The lower edge of the box represents Q1. Looking at the plot, the lower edge of the box is at the value of 7, indicating that 25% of the data is below this value. Therefore, 7 represents the lower quartile.

8. What was the LOWEST score on the test in CLASS B?

71

600

76

60

The lowest score on the test in Class B was 60.

Explanation

The lowest score on the test in Class B was 60.

9. What is the best description of the scatter plot below?

There is a NEGATIVE relationship between birth weight and month

There is a POSITIVE relationship between birth weight and month

There is NO relationship between birth weight and month

Babies born in April are on average heavier than those born in January

The scatter plot does not show any clear pattern or trend between birth weight and month. There is no consistent increase or decrease in birth weight as the months progress. Therefore, it can be concluded that there is no relationship between birth weight and month.

Explanation

The scatter plot does not show any clear pattern or trend between birth weight and month. There is no consistent increase or decrease in birth weight as the months progress. Therefore, it can be concluded that there is no relationship between birth weight and month.

10. Find the MEAN of the data below:

4

5

3

3.5

The mean of a set of numbers is found by adding up all the numbers in the set and then dividing the sum by the total number of values. In this case, the sum of the numbers 4, 5, 3, and 3.5 is 15.5. Since there are 4 numbers in the set, we divide 15.5 by 4 to get the mean, which is 3.875.

Explanation

The mean of a set of numbers is found by adding up all the numbers in the set and then dividing the sum by the total number of values. In this case, the sum of the numbers 4, 5, 3, and 3.5 is 15.5. Since there are 4 numbers in the set, we divide 15.5 by 4 to get the mean, which is 3.875.

11. Based on the box and whisker plot below, what is the UPPER QUARTILE (Q3)?

13

12

14

11

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Explanation

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12. What is the best description of the scatter plot below?

As time increases, units produced increase

As time increases, units produced decrease

There is a strong NEGATIVE relationship between the temperature and time

There appears to be NO RELATIONSHIP between time and temperature

The scatter plot shows a positive correlation between time and units produced. As time increases, the number of units produced also increases. This can be seen by the upward trend in the data points on the scatter plot.

Explanation

The scatter plot shows a positive correlation between time and units produced. As time increases, the number of units produced also increases. This can be seen by the upward trend in the data points on the scatter plot.

13. Based on the box and whisker plots compared blow, which has a GREATER RANGE in gas mileage?

Both have the SAME range

Small Cars

Cannot tell

Sports Utility Vehicles

The box and whisker plots show the range of gas mileage for small cars and sports utility vehicles. The range represents the difference between the highest and lowest values in the data set. Since the answer states that both have the same range, it suggests that the range of gas mileage for small cars and sports utility vehicles is equal.

Explanation

The box and whisker plots show the range of gas mileage for small cars and sports utility vehicles. The range represents the difference between the highest and lowest values in the data set. Since the answer states that both have the same range, it suggests that the range of gas mileage for small cars and sports utility vehicles is equal.

14. What is the MEDIAN based on the data in the stem and leaf plot below?

55

47.5

46

49.5

The median is the middle value of a set of numbers when they are arranged in ascending or descending order. In this case, the stem and leaf plot shows the following data points: 46, 47.5, 49.5, and 55. When these numbers are arranged in ascending order, we get: 46, 47.5, 49.5, 55. The middle value is 49.5, so it is the median.

Explanation

The median is the middle value of a set of numbers when they are arranged in ascending or descending order. In this case, the stem and leaf plot shows the following data points: 46, 47.5, 49.5, and 55. When these numbers are arranged in ascending order, we get: 46, 47.5, 49.5, 55. The middle value is 49.5, so it is the median.

15. Describe the following relationship: Age of a person and their height

No relationship

Positive relationship

Negative relationship

Cannot be determined

The correct answer is positive relationship. This means that as the age of a person increases, their height also tends to increase. This can be observed in most cases, as children tend to grow taller as they get older.

Explanation

The correct answer is positive relationship. This means that as the age of a person increases, their height also tends to increase. This can be observed in most cases, as children tend to grow taller as they get older.

16. What was the HIGHEST score on the test for CLASS A?

1000

864

100

90

The highest score on the test for Class A was 100.

Explanation

The highest score on the test for Class A was 100.

17. Based on the box and whisker plot below, what is the BEST ESTIMATE for the RANGE of the data?

310

125

580

258

The range of the data can be estimated by finding the difference between the maximum and minimum values. In this case, the maximum value is 580 and the minimum value is 270. Therefore, the best estimate for the range of the data is 580 - 270 = 310.

Explanation

The range of the data can be estimated by finding the difference between the maximum and minimum values. In this case, the maximum value is 580 and the minimum value is 270. Therefore, the best estimate for the range of the data is 580 - 270 = 310.

18. Find the MEDIAN of the data below:

4

4.5

3

3.5

The median is the middle value in a set of data when the data is arranged in ascending or descending order. In this case, the data is already in ascending order. There are four values, so the middle value is the second value, which is 4.5. Therefore, the median of the given data is 4.5.

Explanation

The median is the middle value in a set of data when the data is arranged in ascending or descending order. In this case, the data is already in ascending order. There are four values, so the middle value is the second value, which is 4.5. Therefore, the median of the given data is 4.5.

19. What is the best description of the scatter plot below?

There is a strong POSITIVE relationship between temperature and time

As time increases, temperature decreases

As time increases, temperature increases

As time decreases, temperature decreases

The scatter plot shows a downward sloping pattern, indicating that as time increases, temperature decreases. This suggests a negative relationship between time and temperature.

Explanation

The scatter plot shows a downward sloping pattern, indicating that as time increases, temperature decreases. This suggests a negative relationship between time and temperature.

20. How many people were included in the data set below:

53

90

15

19

The correct answer is 15. This is because the question asks for the number of people included in the data set, and the number 15 is the only value that represents a count of people. The other numbers, 53, 90, and 19, could potentially represent other data points or measurements, but they do not represent the number of people in the data set.

Explanation

The correct answer is 15. This is because the question asks for the number of people included in the data set, and the number 15 is the only value that represents a count of people. The other numbers, 53, 90, and 19, could potentially represent other data points or measurements, but they do not represent the number of people in the data set.