Practice Mean as Fair Share in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The mean (average) represents what each person would get if the total were divided equally among everyone. It is calculated by adding all values and dividing by the count, giving a single number that summarizes the center of the data.

Imagine 3 friends have 2, 4, and 9 candies. If they pool all candies (15 total) and share equally, each gets 5. That's the mean! It's the 'fair share' - what everyone would have if things were perfectly even.

Showing a random 20 of 50 problems.

Example 1

medium
A team's mean weight is 6060 kg over 44 players. A 9090 kg player joins. Find the new mean.

Example 2

easy
Four boxes contain 12, 8, 14, and 6 apples. Find the mean number of apples per box.

Example 3

hard
If every value in a data set is increased by 55, what happens to the mean?

Example 4

medium
Four numbers average 1515. Three are 10,12,2010, 12, 20. Find the fourth.

Example 5

medium
A class of 2020 students averages 7575. A new student scores 9696. Find the new mean.

Example 6

hard
The mean of nn numbers is 2020. Adding the number 5050 raises the mean to 2222. Find nn.

Example 7

easy
Four kids have 3,5,7,93, 5, 7, 9 stickers. Find the mean.

Example 8

medium
The mean of 44 numbers is 1010. Three of them are 8,9,128, 9, 12. Find the fourth.

Example 9

easy
Find the mean of 4,6,84, 6, 8.

Example 10

easy
Find the mean of 7,7,77, 7, 7.

Example 11

easy
Find the mean of 10,20,30,4010, 20, 30, 40.

Example 12

challenge
Seven numbers average 1212. Removing one number drops the average of the rest to 1111. Find the removed number.

Example 13

medium
The mean of five numbers is 1212. Four of them are 10,11,13,1410, 11, 13, 14. Find the fifth.

Example 14

medium
A car drives 6060 mph for 22 h and 8080 mph for 33 h. Find the mean speed across all 55 hours.

Example 15

hard
If every value in a data set is doubled, what happens to the mean?

Example 16

medium
The mean weight of 55 boxes is 1212 kg. One box weighing 2020 kg is removed. Find the new mean.

Example 17

medium
Group A has 44 students with mean 9090. Group B has 66 students with mean 8080. Find the combined mean.

Example 18

medium
Three friends pool money: $6,$10,$14\$6, \$10, \$14. Each pays an equal share for a $30\$30 pizza. How much does each owe?

Example 19

hard
Six employees have a mean salary of $40,000\$40{,}000. The owner ($200,000\$200{,}000) joins the average. Find the new mean.

Example 20

easy
Find the mean of 0,0,60, 0, 6.
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Related Concepts

Weighted Average