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

This math topic focuses on practicing how to determine the count of numbers in a set given their total sum and mean. It involves basic arithmetic and introduces students to concepts associated with statistics, particularly in calculating the number of data points when the average and total are known. The problems are framed in a multiple-choice format, providing a practical application of the mean formula in various contexts. This is part of a more comprehensive introduction to probability and statistics, particularly mean, median, and mode.

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

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Solve for Count from Mean and Sum

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

Statistics - Solve for Count from Mean and Sum Worksheet

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Math worksheet on 'Statistics - Solve for Count from Mean and Sum (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 a set of numbers have a sum of 16, and a mean of 4, how many numbers are there?
a
5
b
4
c
7
d
3
e
0
f
8
2
If a set of numbers have a sum of 15, and a mean of 5, how many numbers are there?
a
3
b
12
c
8
d
2
e
0
f
1
3
If a set of numbers have a sum of 24, and a mean of 6, how many numbers are there?
a
14
b
4
c
9
d
7
e
8
f
1
4
If a set of numbers have a sum of 20, and a mean of 5, how many numbers are there?
a
1
b
0
c
4
d
9
e
8
f
14
5
If a set of numbers have a sum of 25, and a mean of 5, how many numbers are there?
a
9
b
15
c
5
d
3
e
2
f
1
6
If a set of numbers have a sum of 20, and a mean of 4, how many numbers are there?
a
4
b
8
c
12
d
1
e
11
f
5