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
1520253035

Find the mean x̄ of the data: 24, 38, 39, 31, 16, 13, 18, 20, 20.

n = 9
x̄ =
2.Easy
510152025303540

Find the mean x̄ of the data: 35, 27, 40, 3, 15, 16, 19, 19.

n = 8
x̄ =
3.Medium
10152025303540455055

Find the sample standard deviation s of the data: 47, 10, 31, 57, 38, 22.

n = 6
s =
4.Medium
152025303540455055

Find the sample standard deviation s of the data: 58, 25, 33, 52, 13, 38.

n = 6
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 8. What proportion P of values is below 180?

μ = 170σ = 8x = 180
P =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 500 and standard deviation 60. Find the z-score z of a score of 410.

μ = 500σ = 60x = 410
z =

Answer key

  1. 1. x̄ = 24.33
  2. 2. x̄ = 21.75
  3. 3. s = 16.99
  4. 4. s = 16.74
  5. 5. P = 0.8944
  6. 6. z = −1.5

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