Descriptive statistics worksheet with answers

Free printable Descriptive statistics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
10152025303540

Find the mean x̄ of the data: 40, 28, 6, 14, 8, 12, 25.

n = 7
x̄ =
2.Easy
5101520

Find the mean x̄ of the data: 21, 24, 7, 14, 4, 3, 16, 24, 7, 13.

n = 10
x̄ =
3.Medium
15202530354045

Find the sample standard deviation s of the data: 46, 26, 23, 15, 15, 16.

n = 6
s =
4.Medium
152025303540455055

Find the sample standard deviation s of the data: 28, 21, 39, 59, 14, 49, 35.

n = 7
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 100 and standard deviation 20. Find the z-score z of a score of 76.

μ = 100σ = 20x = 76
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 8. What proportion P of values is below 173.2?

μ = 170σ = 8x = 173.2
P =

Answer key

  1. 1. x̄ = 19
  2. 2. x̄ = 13.3
  3. 3. s = 11.95
  4. 4. s = 15.67
  5. 5. z = −1.2
  6. 6. P = 0.6554

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