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: 6, 22, 34, 14, 9, 30, 38.

n = 7
x̄ =
2.Easy
101520253035

Find the mean x̄ of the data: 8, 39, 30, 7, 9, 36, 34, 21.

n = 8
x̄ =
3.Medium
28303234363840424446

Find the sample standard deviation s of the data: 47, 27, 45, 46, 36, 42.

n = 6
s =
4.Medium
1520253035404550

Find the sample standard deviation s of the data: 53, 46, 25, 11, 23.

n = 5
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 12. What proportion P of values is above 160.4?

μ = 170σ = 12x = 160.4
P =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 60 and standard deviation 12. Find the z-score z of a score of 42.

μ = 60σ = 12x = 42
z =

Answer key

  1. 1. x̄ = 21.86
  2. 2. x̄ = 23
  3. 3. s = 7.714
  4. 4. s = 17.37
  5. 5. P = 0.7881
  6. 6. z = −1.5

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