Statistics: Finding the Mean Median and Mode Worksheet

Question 1

Find the mean of these quiz scores: 8, 10, 7, 9, 6.

Accepted Answer

The mean is 8 because 8 + 10 + 7 + 9 + 6 = 40, and 40 divided by 5 is 8.

Question 2

Find the median of these numbers: 12, 7, 9, 15, 10.

Accepted Answer

The median is 10 because the numbers in order are 7, 9, 10, 12, 15, and 10 is the middle number.

Question 3

Find the mode of these pet ages: 3, 5, 2, 3, 4, 3, 5.

Accepted Answer

The mode is 3 because 3 appears three times, more often than any other number.

Question 4

The bar graph shows the number of books read by four students: Ana read 4, Ben read 6, Cara read 5, and Darius read 5. Find the mean number of books read.

Accepted Answer

The mean is 5 books because 4 + 6 + 5 + 5 = 20, and 20 divided by 4 is 5.

Question 5

Find the mean, median, and mode of this data set: 4, 6, 6, 8, 11.

Accepted Answer

The mean is 7 because the sum is 35 and 35 divided by 5 is 7. The median is 6 because it is the middle number. The mode is 6 because it appears most often.

Question 6

A class counted how many pencils were in five desks: 2, 4, 4, 5, 10. Which measure, mean or median, better describes a typical desk? Explain your choice.

Accepted Answer

The median better describes a typical desk because 10 is much larger than the other numbers and raises the mean. The median is 4, which is closer to most of the desk counts.

Question 7

Find the median of these temperatures: 68, 72, 70, 71, 69, 73.

Accepted Answer

The median is 70.5 because the numbers in order are 68, 69, 70, 71, 72, 73, and the two middle numbers are 70 and 71. The number halfway between them is 70.5.

Question 8

The line plot shows points at 1, 2, 2, 3, 4, 4, and 4. Find the mode of the data.

Accepted Answer

The mode is 4 because 4 has the most points and appears three times.

Question 9

Mia's scores on four spelling tests were 9, 10, 8, and 9. What score would she need on a fifth test to have a mean of 9?

Accepted Answer

Mia would need a score of 9 because a mean of 9 for five tests means a total of 45 points, and 9 + 10 + 8 + 9 = 36. She needs 45 - 36 = 9 more points.

Question 10

Find the mode of this data set: 6, 7, 8, 9, 10.

Accepted Answer

There is no mode because every number appears exactly one time.

Question 11

The table shows the number of goals scored by a team in six games: Game 1: 2, Game 2: 1, Game 3: 3, Game 4: 2, Game 5: 4, Game 6: 0. Find the mean number of goals.

Accepted Answer

The mean is 2 goals because 2 + 1 + 3 + 2 + 4 + 0 = 12, and 12 divided by 6 is 2.

Question 12

Find the mean, median, and mode of these numbers of stickers: 5, 7, 5, 9, 8, 5, 10.

Accepted Answer

The mean is 7 because the sum is 49 and 49 divided by 7 is 7. The median is 7 because the ordered list is 5, 5, 5, 7, 8, 9, 10. The mode is 5 because it appears most often.

Question 13

The dot plot shows the number of siblings for 8 students: 0, 1, 1, 2, 2, 2, 3, 4. Find the median number of siblings.

Accepted Answer

The median is 2 because the two middle numbers are 2 and 2, and the number halfway between them is 2.

Question 14

A data set has these numbers: 14, 12, 16, 12, 11. Jaden says the median is 16 because it is in the middle of the list as written. Is Jaden correct? Explain.

Accepted Answer

Jaden is not correct because the numbers must be put in order first. In order they are 11, 12, 12, 14, 16, so the median is 12.

Question 15

The picture graph shows favorite fruits in a small group: apples have 3 votes, bananas have 5 votes, grapes have 2 votes, and oranges have 5 votes. Which fruits are the modes?

Accepted Answer

The modes are bananas and oranges because they each have 5 votes, which is the greatest number of votes.

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