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, 1.2

Example 2

easy

Find the mean of

\{15,25,35,45\}

Example 3

medium

The average of

a

and

b

20

, and the average of

b

and

c

30

. Find

c - a

Example 4

easy

Find the mean of

\{12, 7, 3, 14, 9, 11\}

Example 5

easy

Find the mean of

0, 0, 6

Example 6

medium

Multiply every number in a data set with mean

8

3

. New mean?

Example 7

easy

The mean of three numbers is

11

. 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

n

values has mean

50

. After adding a value equal to

80

, the new mean is

52

. Find

n

Example 10

medium

A data set has mean

30

and sum

180

. How many values are in the set?

Example 11

easy

The mean of

4,9,

and

x

7

. Find

x

Example 12

hard

Five integers average

30

. 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

5

numbers is

12

. What is their sum?

Example 14

medium

A student's first four test means

85

. After the fifth test the mean rose to

87

. Find the fifth score.

Example 15

medium

A student has a

85

average over

4

tests. What must they score on the 5th test for a

87

average?

Example 16

medium

A set of

3

numbers has mean

10

. Adding a 4th number makes the mean

12

. What's the 4th number?

Example 17

easy

Find the mean of

4, 8, 6

Example 18

medium

Class A (15 students) averages

70

. Class B (25 students) averages

82

. Find the combined average.

Example 19

medium

Every number in a data set with mean

12

is increased by

3

. Find the new mean.

Example 20

easy

Find the arithmetic mean of the data set:

\{4, 8, 15, 16, 23\}

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Related Concepts

Addition Division Median Mode Standard Deviation