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: 36, 15, 38, 7, 22, 32, 6, 34, 34, 19.

n = 10
x̄ =
2.Easy
1015202530

Find the median M of the data: 9, 24, 12, 16, 13, 22, 34.

n = 7
M =
3.Medium
2025303540455055

Find the sample standard deviation s of the data: 27, 56, 38, 58, 21, 30, 20.

n = 7
s =
4.Medium
20253035

Find the sample standard deviation s of the data: 16, 34, 39, 32, 30, 27, 32.

n = 7
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 5. What proportion P of values is below 162.5?

μ = 170σ = 5x = 162.5
P =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 50 and standard deviation 10. Find the z-score z of a score of 62.5.

μ = 50σ = 10x = 62.5
z =

Answer key

  1. 1. x̄ = 24.3
  2. 2. M = 16
  3. 3. s = 15.73
  4. 4. s = 7.188
  5. 5. P = 0.06681
  6. 6. z = 1.25

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