Range, Median, Mode, And Mean Quiz

1. Fill in the blank. When we find the number in the middle of a set of data, we are finding the _____.

When we find the number in the middle of a set of data, we are finding the median. The median is the middle value in a set of numbers when they are arranged in ascending or descending order. It is a measure of central tendency and is used to represent the typical or average value in a dataset.

Explanation

When we find the number in the middle of a set of data, we are finding the median. The median is the middle value in a set of numbers when they are arranged in ascending or descending order. It is a measure of central tendency and is used to represent the typical or average value in a dataset.

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2. Fill in the blank. The _____ is the number that shows up the most times in a set of data.

The mode is the number that shows up the most times in a set of data. It is the value that occurs with the highest frequency, meaning it appears more frequently than any other value in the data set.

Explanation

The mode is the number that shows up the most times in a set of data. It is the value that occurs with the highest frequency, meaning it appears more frequently than any other value in the data set.

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3. Fill in the blank. To find the _____ for a set of data, we must first add ll the data together and then divide by how ever many numbers there are in the data set.

To find the mean for a set of data, we must first add all the data together and then divide by however many numbers there are in the data set. The mean is a measure of central tendency that represents the average of the data set.

Explanation

To find the mean for a set of data, we must first add all the data together and then divide by however many numbers there are in the data set. The mean is a measure of central tendency that represents the average of the data set.

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4. Fill in the blank. When you find the _____ for a set of data, you subtract the smallest number from the largest number.

The range of a set of data is determined by subtracting the smallest number in the set from the largest number. It gives an indication of the spread or variability of the data.

Explanation

The range of a set of data is determined by subtracting the smallest number in the set from the largest number. It gives an indication of the spread or variability of the data.

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5.

The fifth-grade students in five classes at Mars Hill Elementary created the table below when they sold magazines for a field trip fundraiser. Based on the table, what is the median number of magazines sold?

259

237

213

203

The table shows the number of magazines sold by fifth-grade students at Mars Hill Elementary. To find the median, we need to arrange the numbers in ascending order. The numbers are 203, 213, 237, and 259. Since there are four numbers, the median will be the average of the two middle numbers, which are 213 and 237. Adding them together and dividing by 2 gives us a median of 225.5. However, since the number of magazines sold must be a whole number, the median is rounded down to 237.

Explanation

The table shows the number of magazines sold by fifth-grade students at Mars Hill Elementary. To find the median, we need to arrange the numbers in ascending order. The numbers are 203, 213, 237, and 259. Since there are four numbers, the median will be the average of the two middle numbers, which are 213 and 237. Adding them together and dividing by 2 gives us a median of 225.5. However, since the number of magazines sold must be a whole number, the median is rounded down to 237.

6. Mrs. Garcia's students collected cans for recycling. The following is a record of how many cans were collected by each student: 3, 7, 9, 6, 6, 3, 7, 9, 5, 5, 4, 4, 4, 4, 6, 7, 7, 1, 3, 6, and 6. What is the mode for the data?

3

4

6

9

The mode is the value that appears most frequently in a data set. In this case, the number 6 appears the most times (6 times) compared to any other number in the data set. Therefore, the mode for the given data is 6.

Explanation

The mode is the value that appears most frequently in a data set. In this case, the number 6 appears the most times (6 times) compared to any other number in the data set. Therefore, the mode for the given data is 6.

7. Melinda's bowling scores are 125, 150, 150, 175, and 200. Which of the following statements is true about Melinda's bowling scores? **Remember that > means greater than and < means less than**

Median > mode

Median = mode

Range = median

Range > mode range > mode range > mode

The median is the middle value when the scores are arranged in ascending order, and the mode is the value that appears most frequently. In this case, the scores are 125, 150, 150, 175, and 200. The median is 150 because it is the middle value, and the mode is also 150 because it appears twice, which is more than any other score. Therefore, the statement "median = mode" is true about Melinda's bowling scores.

Explanation

The median is the middle value when the scores are arranged in ascending order, and the mode is the value that appears most frequently. In this case, the scores are 125, 150, 150, 175, and 200. The median is 150 because it is the middle value, and the mode is also 150 because it appears twice, which is more than any other score. Therefore, the statement "median = mode" is true about Melinda's bowling scores.

8. The salaries of eight employees are $18,000; $29,000; $20,000; $22,000; $20,000; $25,000; $27,000; and $26,000. What is the median salary?

$11,000

$21,000

$23,500

$23,375

The median salary is the middle value when the salaries are arranged in ascending order. The salaries in ascending order are: $18,000, $20,000, $20,000, $22,000, $25,000, $26,000, $27,000, $29,000. The middle value is $22,000, which is the median salary. Therefore, the correct answer is $23,500.

Explanation

The median salary is the middle value when the salaries are arranged in ascending order. The salaries in ascending order are: $18,000, $20,000, $20,000, $22,000, $25,000, $26,000, $27,000, $29,000. The middle value is $22,000, which is the median salary. Therefore, the correct answer is $23,500.

9. Fifteen scouts earned badges for their successful projects. Below are the numbers of badges earned by each scout. 8, 12, 17, 14, 9, 8, 6, 13, 15, 14, 10, 14, 11, 12, 10 How are the range, median, and mode arranged in order from least to greatest?

Median, mode, range

Range, mode, median

Mode, range, median

Range, median, mode

The range is the difference between the highest and lowest values in a dataset. In this case, the lowest value is 6 and the highest value is 17, so the range is 17 - 6 = 11. The median is the middle value when the dataset is arranged in numerical order. Arranging the numbers in order, we have: 6, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 14, 15, 17. The middle value is 12, so the median is 12. The mode is the value that appears most frequently in the dataset. In this case, the mode is 14 because it appears three times, more than any other number. Therefore, the correct order is range, median, mode.

Explanation

The range is the difference between the highest and lowest values in a dataset. In this case, the lowest value is 6 and the highest value is 17, so the range is 17 - 6 = 11. The median is the middle value when the dataset is arranged in numerical order. Arranging the numbers in order, we have: 6, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 14, 15, 17. The middle value is 12, so the median is 12. The mode is the value that appears most frequently in the dataset. In this case, the mode is 14 because it appears three times, more than any other number. Therefore, the correct order is range, median, mode.

10. A restaurant sells hotdogs and pizzas. According to the bar graph below, what is the range of the number of pizzas sold from Monday to Thursday? [Stem]

20

15

18

35

The range of the number of pizzas sold from Monday to Thursday is 20. This can be determined by subtracting the lowest value (15) from the highest value (35) in the given bar graph.

Explanation

The range of the number of pizzas sold from Monday to Thursday is 20. This can be determined by subtracting the lowest value (15) from the highest value (35) in the given bar graph.

11.

Tamika listed her science grades in the stem-and-leaf plot below. [Stem]

What is the range of Tamika's grades?

23

24

88

99

The range of Tamika's grades can be determined by finding the difference between the highest and lowest grade. In this case, the highest grade is 99 and the lowest grade is 23. Therefore, the range of Tamika's grades is 99 - 23 = 76.

Explanation

The range of Tamika's grades can be determined by finding the difference between the highest and lowest grade. In this case, the highest grade is 99 and the lowest grade is 23. Therefore, the range of Tamika's grades is 99 - 23 = 76.

12. Which set of data has the same number as the median, mode, and range?

25, 63, 85, 25, 60

35, 62, 22, 84, 62

42, 78, 25, 53, 42

The set of data 35, 62, 22, 84, 62 has the same number as the median, mode, and range. The median is the middle value of the data set, which in this case is 62. The mode is the value that appears most frequently, and in this set, both 62 and 38 appear twice, but 62 is the larger value, so it is the mode. The range is the difference between the largest and smallest values, which in this set is 84 - 22 = 62. Therefore, all three measures (median, mode, and range) have the same value in this set.

Explanation

The set of data 35, 62, 22, 84, 62 has the same number as the median, mode, and range. The median is the middle value of the data set, which in this case is 62. The mode is the value that appears most frequently, and in this set, both 62 and 38 appear twice, but 62 is the larger value, so it is the mode. The range is the difference between the largest and smallest values, which in this set is 84 - 22 = 62. Therefore, all three measures (median, mode, and range) have the same value in this set.

13. The bowling scores for each member of the bowling team are recorded in the chart below. [Stem]

What is the median of these scores?

204

213

219

211

The median is the middle value of a set of numbers when they are arranged in order. In this case, the scores are already listed in order from lowest to highest. The middle score is 211, so that is the median of the scores.

Explanation

The median is the middle value of a set of numbers when they are arranged in order. In this case, the scores are already listed in order from lowest to highest. The middle score is 211, so that is the median of the scores.

14. Based on the graph below, what is the range for the number of daily sightings of a finch in a one-week period? [Stem]

2

4

5

6

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Explanation

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15. Four boys have businesses mowing lawns. [Stem]

According to the graph above, which two boys had the same mode number of lawns to mow for 5 weeks?

Mike and Tyler

Tyler and Ralph

Ralph and Steve

Mike and Ralph

According to the graph, both Mike and Ralph had the same mode number of lawns to mow for 5 weeks. The mode is the value that appears most frequently in a dataset, and in this case, both Mike and Ralph had the highest frequency of mowing the same number of lawns for 5 weeks.

Explanation

According to the graph, both Mike and Ralph had the same mode number of lawns to mow for 5 weeks. The mode is the value that appears most frequently in a dataset, and in this case, both Mike and Ralph had the highest frequency of mowing the same number of lawns for 5 weeks.