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
681012141618202224

Find the mean x̄ of the data: 5, 18, 12, 23, 25, 5, 7, 14.

n = 8
x̄ =
2.Easy
510152025303540

Find the mean x̄ of the data: 40, 29, 24, 12, 7, 17, 4, 20.

n = 8
x̄ =
3.Medium
152025303540455055

Find the sample standard deviation s of the data: 58, 16, 43, 29, 22, 13, 28.

n = 7
s =
4.Medium
152025303540455055

Find the sample standard deviation s of the data: 53, 53, 56, 13, 57, 18, 46.

n = 7
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 70 and standard deviation 15. Find the z-score z of a score of 47.5.

μ = 70σ = 15x = 47.5
z =
6.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 55.6.

μ = 70σ = 12x = 55.6
z =

Answer key

  1. 1. x̄ = 13.63
  2. 2. x̄ = 19.13
  3. 3. s = 15.85
  4. 4. s = 18.69
  5. 5. z = −1.5
  6. 6. z = −1.2

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