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, 13, 9, 27, 22, 32, 25, 37, 23.

n = 9
x̄ =
2.Easy
5101520253035

Find the median M of the data: 38, 14, 27, 20, 4, 4, 38, 9.

n = 8
M =
3.Medium
20253035404550

Find the sample standard deviation s of the data: 35, 43, 22, 16, 51, 24, 30.

n = 7
s =
4.Medium
152025303540

Find the sample standard deviation s of the data: 28, 44, 13, 27, 17, 13.

n = 6
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 64.

μ = 70σ = 12x = 64
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 100 and standard deviation 12. What proportion P of values is below 76?

μ = 100σ = 12x = 76
P =

Answer key

  1. 1. x̄ = 21.78
  2. 2. M = 17
  3. 3. s = 12.34
  4. 4. s = 11.96
  5. 5. z = −0.5
  6. 6. P = 0.02275

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