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
101520253035

Find the mean x̄ of the data: 8, 31, 9, 39, 27, 22, 20, 30.

n = 8
x̄ =
2.Easy
510152025

Find the mean x̄ of the data: 4, 20, 28, 3, 6, 18, 10.

n = 7
x̄ =
3.Medium
2025303540455055

Find the sample standard deviation s of the data: 59, 38, 56, 40, 17, 21, 31.

n = 7
s =
4.Medium
152025303540455055

Find the sample standard deviation s of the data: 14, 25, 25, 58, 27, 49, 32.

n = 7
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 70 and standard deviation 12. Find the z-score z of a score of 52.

μ = 70σ = 12x = 52
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 12. What proportion P of values is above 182?

μ = 170σ = 12x = 182
P =

Answer key

  1. 1. x̄ = 23.25
  2. 2. x̄ = 12.71
  3. 3. s = 16.05
  4. 4. s = 15.31
  5. 5. z = −1.5
  6. 6. P = 0.1587

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