Practice Mean in Math

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

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Quick Recap

The arithmetic mean (average) of a data set is the sum of all values divided by the number of values.

Imagine redistributing all the data equally — the mean is the value each person would get if everyone shared equally. It is the balance point of the data.

Showing a random 20 of 50 problems.

Example 1

medium
Find the mean of 0.4,0.6,0.8,1.0,1.20.4, 0.6, 0.8, 1.0, 1.2.

Example 2

easy
Find the mean of {15,25,35,45}\{15,25,35,45\}.

Example 3

medium
The average of aa and bb is 2020, and the average of bb and cc is 3030. Find c−ac - a.

Example 4

easy
Find the mean of {12,7,3,14,9,11}\{12, 7, 3, 14, 9, 11\}.

Example 5

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

Example 6

medium
Multiply every number in a data set with mean 88 by 33. New mean?

Example 7

easy
The mean of three numbers is 1111. What is their sum?

Example 8

challenge
Can the mean of a data set be a value that doesn't appear in the data? Give an example and explain.

Example 9

hard
A group of nn values has mean 5050. After adding a value equal to 8080, the new mean is 5252. Find nn.

Example 10

medium
A data set has mean 3030 and sum 180180. How many values are in the set?

Example 11

easy
The mean of 4,9,4,9, and xx is 77. Find xx.

Example 12

hard
Five integers average 3030. The least possible value of the largest integer occurs when the others are as large as possible (but less than the largest). What is the largest if all are positive integers and the others are distinct positive integers below it?

Example 13

easy
The mean of 55 numbers is 1212. What is their sum?

Example 14

medium
A student's first four test means 8585. After the fifth test the mean rose to 8787. Find the fifth score.

Example 15

medium
A student has a 8585 average over 44 tests. What must they score on the 5th test for a 8787 average?

Example 16

medium
A set of 33 numbers has mean 1010. Adding a 4th number makes the mean 1212. What's the 4th number?

Example 17

easy
Find the mean of 4,8,64, 8, 6.

Example 18

medium
Class A (15 students) averages 7070. Class B (25 students) averages 8282. Find the combined average.

Example 19

medium
Every number in a data set with mean 1212 is increased by 33. Find the new mean.

Example 20

easy
Find the arithmetic mean of the data set: {4,8,15,16,23}\{4, 8, 15, 16, 23\}.
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