Statistics - Solve for Count from Mean and Sum (Level 2)

This math topic focuses on solving for the count (number of items) in a data set from given values of mean and total sum. It is a part of a broader unit on introductory concepts of Probability and Statistics, specifically targeting the concepts of mean, median, and mode. The problems present a data set's total sum and mean, asking to determine how many numbers are in the set. This exercise aims to reinforce understanding of relationships between mean, sum, and the count of elements in statistical data analysis.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Statistics - Solve for Count from Mean and Sum Worksheet

Math worksheet on 'Statistics - Solve for Count from Mean and Sum (Level 2)'. Part of a broader unit on 'Probability and Statistics - Mean, Median, and Mode - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_mean_median_mode_practice/

1

If a set of numbers have a sum of 21, and a mean of 7, how many numbers are there?

a

7

b

3

c

5

d

12

e

6

f

4

2

If a set of numbers have a sum of 18, and a mean of 6, how many numbers are there?

a

3

b

13

c

14

d

8

e

6

f

10

3

If a set of numbers have a sum of 24, and a mean of 6, how many numbers are there?

a

4

b

11

c

1

d

15

e

10

f

7

4

If a set of numbers have a sum of 20, and a mean of 5, how many numbers are there?

a

9

b

4

c

7

d

5

e

8

f

3

5

If a set of numbers have a sum of 15, and a mean of 5, how many numbers are there?

a

1

b

8

c

3

d

6

e

5

f

2

6

If a set of numbers have a sum of 32, and a mean of 8, how many numbers are there?

a

15

b

5

c

4

d

7

e

8

f

14

7

If a set of numbers have a sum of 30, and a mean of 6, how many numbers are there?

a

9

b

6

c

11

d

8

e

0

f

5