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
510152025303540

Find the mean x̄ of the data: 21, 40, 16, 6, 4, 18, 10, 6, 30.

n = 9
x̄ =
2.Easy
1520253035

Find the median M of the data: 34, 38, 24, 32, 12, 31.

n = 6
M =
3.Medium
152025303540455055

Find the sample standard deviation s of the data: 35, 52, 46, 15, 59, 13.

n = 6
s =
4.Medium
25303540455055

Find the sample standard deviation s of the data: 36, 59, 47, 25, 49.

n = 5
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 62.5.

μ = 70σ = 15x = 62.5
z =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 500 and standard deviation 50. Find the z-score z of a score of 460.

μ = 500σ = 50x = 460
z =

Answer key

  1. 1. x̄ = 16.78
  2. 2. M = 31.5
  3. 3. s = 19.25
  4. 4. s = 13.05
  5. 5. z = −0.5
  6. 6. z = −0.8

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