Statistics - Solve for Sum from Mean and Count (Level 1)

This math topic focuses on calculating the sum of a set of numbers given their mean and count. It explores how to apply the formula for mean: \(\text{Mean} = \frac{\text{Sum of elements}}{\text{Number of elements}}\), to find the sum. This area is an introduction to basic statistics and includes problems where learners find the total sum of numbers when the average (mean) and the count of the numbers are provided. The problems range from simple calculations using smaller sets of numbers to more numbers, giving learners practice in handling basic statistical calculations efficiently.

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

Statistics - Solve for Sum from Mean and Count Worksheet

Math worksheet on 'Statistics - Solve for Sum from Mean and Count (Level 1)'. 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 5 numbers have a mean of 6, what is their sum?

Solve the challenge

a

35.5

b

32

c

35

d

27

e

30

f

34.5

2

If 5 numbers have a mean of 5, what is their sum?

Solve the challenge

a

29.5

b

21.5

c

27.5

d

26

e

20.5

f

25

3

If 3 numbers have a mean of 5, what is their sum?

Solve the challenge

a

9

b

15

c

16

d

9.5

e

18

f

20

4

If 4 numbers have a mean of 4, what is their sum?

Solve the challenge

a

19

b

11

c

16

d

13

e

21.5

f

15.5

5

If 4 numbers have a mean of 5, what is their sum?

Solve the challenge

a

14

b

19

c

21.5

d

24

e

25.5

f

20

6

If 5 numbers have a mean of 7, what is their sum?

Solve the challenge

a

36

b

39

c

33

d

35

e

34

f

38

7

If 4 numbers have a mean of 6, what is their sum?

Solve the challenge

a

23

b

21

c

24

d

29

e

20.5

f

21.5