Mean Median Mode and Range Worksheet

Question 1

Find the mean of the data set: 6, 8, 10, 12, 14.

Accepted Answer

The mean is 10 because the sum of the numbers is 50 and 50 divided by 5 equals 10.

Question 2

Find the median of the data set: 3, 5, 7, 9, 11.

Accepted Answer

The median is 7 because it is the middle number when the data is listed in order.

Question 3

Find the mode of the data set: 4, 6, 6, 8, 9, 9, 9, 10.

Accepted Answer

The mode is 9 because it appears more often than any other number in the data set.

Question 4

Find the range of the data set: 13, 17, 19, 21, 24.

Accepted Answer

The range is 11 because 24 minus 13 equals 11.

Question 5

Find the mean, median, mode, and range of the data set: 2, 4, 4, 6, 8.

Accepted Answer

The mean is 4.8 because 2 + 4 + 4 + 6 + 8 = 24 and 24 divided by 5 is 4.8. The median is 4 because it is the middle number. The mode is 4 because it appears most often. The range is 6 because 8 minus 2 equals 6.

Question 6

Find the median of the data set: 12, 7, 15, 9, 10, 14.

Accepted Answer

The median is 11 because the ordered data is 7, 9, 10, 12, 14, 15 and the average of the two middle numbers, 10 and 12, is 11.

Question 7

Find the mean of the data set: 5, 5, 7, 8, 10, 11.

Accepted Answer

The mean is 7.67, or 7 and 2/3, because the sum is 46 and 46 divided by 6 equals 7.67 when rounded to the nearest hundredth.

Question 8

Find all modes of the data set: 2, 3, 3, 5, 5, 7, 8.

Accepted Answer

The data set has two modes, 3 and 5, because both numbers appear twice and no other number appears more often.

Question 9

Find the mean, median, mode, and range of the data set: 15, 18, 18, 20, 22, 27.

Accepted Answer

The mean is 20 because the sum is 120 and 120 divided by 6 equals 20. The median is 19 because the average of 18 and 20 is 19. The mode is 18 because it appears most often. The range is 12 because 27 minus 15 equals 12.

Question 10

A basketball player scored 12, 18, 15, 21, and 24 points in five games. Find the mean score.

Accepted Answer

The mean score is 18 because the total number of points is 90 and 90 divided by 5 equals 18.

Question 11

The temperatures for one week were 72, 74, 74, 75, 76, 78, and 80 degrees. Find the median and mode.

Accepted Answer

The median is 75 because it is the middle value in the ordered list. The mode is 74 because it appears more often than any other temperature.

Question 12

A student recorded these quiz scores: 88, 92, 88, 95, 91, 88. Find the mode and range.

Accepted Answer

The mode is 88 because it appears three times. The range is 7 because 95 minus 88 equals 7.

Question 13

Find the median of the data set: 20, 25, 30, 35, 40, 45, 50, 55.

Accepted Answer

The median is 37.5 because the two middle numbers are 35 and 40, and their average is 37.5.

Question 14

The data set is 9, 9, 10, 10, 11, 12. Find the mean and explain whether the set has a mode.

Accepted Answer

The mean is 10.17, or 10 and 1/6, because the sum is 61 and 61 divided by 6 is about 10.17. The data set has two modes, 9 and 10, because both appear twice and no other number appears more often.

Question 15

One data set is 4, 4, 5, 6, 21. Another data set is 7, 8, 8, 8, 9. For each set, find the mean. Then decide which mean better represents its data and explain why.

Accepted Answer

The mean of the first set is 8 because 4 + 4 + 5 + 6 + 21 = 40 and 40 divided by 5 equals 8. The mean of the second set is 8 because 7 + 8 + 8 + 8 + 9 = 40 and 40 divided by 5 equals 8. The mean better represents the second set because its values are close together, while the first set has an outlier of 21 that pulls the mean away from most of the data.

Mean Median Mode and Range

Mean Median Mode and Range

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