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
1015202530

Find the mean x̄ of the data: 16, 27, 33, 7, 31, 7.

n = 6
x̄ =
2.Easy
5101520253035

Find the mean x̄ of the data: 25, 37, 35, 4, 29, 2, 31, 7.

n = 8
x̄ =
3.Medium
253035404550

Find the sample standard deviation s of the data: 40, 50, 35, 23, 49, 50, 26.

n = 7
s =
4.Medium
12141618202224262830

Find the sample standard deviation s of the data: 11, 21, 30, 28, 20.

n = 5
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 50 and standard deviation 5. Find the z-score z of a score of 40.

μ = 50σ = 5x = 40
z =
6.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 84.

μ = 100σ = 20x = 84
z =

Answer key

  1. 1. x̄ = 20.17
  2. 2. x̄ = 21.25
  3. 3. s = 11.43
  4. 4. s = 7.517
  5. 5. z = −2
  6. 6. z = −0.8

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