Statistics - Solve for Count from Mean and Sum (Level 3)

This math topic focuses on solving for the count (number of items) in a dataset given the sum and the mean of the data. It tests the ability to apply the formula for finding the mean: mean = sum / count, by rearranging it to find the count: count = sum / mean. These skills are part of a broader unit on probability and statistics, particularly focusing on the concepts of mean, median, and mode. The topic contains multiple-choice questions that require solving different scenarios to find how many numbers are present in sets with specified sums and means.

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 3)'. 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 30, and a mean of 6, how many numbers are there?

a

9

b

7

c

1

d

5

e

6

f

12

2

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

a

1

b

5

c

2

d

3

e

14

f

0

3

If a set of numbers have a sum of 28, and a mean of 7, how many numbers are there?

a

8

b

7

c

0

d

10

e

4

f

5

4

If a set of numbers have a sum of 30, and a mean of 10, how many numbers are there?

a

13

b

3

c

5

d

9

e

12

f

2

5

If a set of numbers have a sum of 36, and a mean of 9, how many numbers are there?

a

2

b

4

c

0

d

3

e

8

f

9

6

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

a

3

b

13

c

12

d

2

e

15

f

4

7

If a set of numbers have a sum of 40, and a mean of 10, how many numbers are there?

a

15

b

5

c

10

d

4

e

11

f

13