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
10152025303540

Find the mean x̄ of the data: 8, 31, 24, 8, 40, 21, 11.

n = 7
x̄ =
2.Easy
222426283032343638

Find the mean x̄ of the data: 32, 39, 39, 38, 31, 31, 21.

n = 7
x̄ =
3.Medium
101520253035404550

Find the sample standard deviation s of the data: 50, 51, 40, 32, 49, 10, 52.

n = 7
s =
4.Medium
2025303540455055

Find the sample standard deviation s of the data: 59, 17, 56, 52, 30.

n = 5
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 85.

μ = 70σ = 12x = 85
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 100 and standard deviation 8. What proportion P of values is below 96?

μ = 100σ = 8x = 96
P =

Answer key

  1. 1. x̄ = 20.43
  2. 2. x̄ = 33
  3. 3. s = 15.32
  4. 4. s = 18.38
  5. 5. z = 1.25
  6. 6. P = 0.3085

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