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
5101520253035

Find the mean x̄ of the data: 35, 25, 7, 22, 29, 5, 4, 37, 10, 27.

n = 10
x̄ =
2.Easy
1015202530

Find the mean x̄ of the data: 6, 15, 34, 9, 16, 24.

n = 6
x̄ =
3.Medium
30354045

Find the sample standard deviation s of the data: 46, 28, 31, 47, 49.

n = 5
s =
4.Medium
253035404550

Find the sample standard deviation s of the data: 23, 38, 40, 23, 54.

n = 5
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 60 and standard deviation 15. Find the z-score z of a score of 30.

μ = 60σ = 15x = 30
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 10. What proportion P of values is below 150?

μ = 170σ = 10x = 150
P =

Answer key

  1. 1. x̄ = 20.1
  2. 2. x̄ = 17.33
  3. 3. s = 9.884
  4. 4. s = 13.05
  5. 5. z = −2
  6. 6. P = 0.02275

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