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
51015202530

Find the median M of the data: 32, 20, 28, 27, 5, 2.

n = 6
M =
2.Easy
5101520253035

Find the mean x̄ of the data: 35, 17, 25, 31, 5, 14, 13, 37.

n = 8
x̄ =
3.Medium
1520253035404550

Find the sample standard deviation s of the data: 43, 11, 34, 51, 44, 14.

n = 6
s =
4.Medium
10152025303540455055

Find the sample standard deviation s of the data: 40, 57, 42, 40, 43, 49, 10.

n = 7
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 60 and standard deviation 20. Find the z-score z of a score of 68.

μ = 60σ = 20x = 68
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 8. What proportion P of values is above 186?

μ = 170σ = 8x = 186
P =

Answer key

  1. 1. M = 23.5
  2. 2. x̄ = 22.13
  3. 3. s = 16.68
  4. 4. s = 14.62
  5. 5. z = 0.4
  6. 6. P = 0.02275

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