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: 19, 22, 31, 3, 12, 33, 23, 4, 34, 21.

n = 10
M =
2.Easy
5101520253035

Find the mean x̄ of the data: 30, 18, 3, 34, 30, 17, 36, 7, 39, 31.

n = 10
x̄ =
3.Medium
152025303540455055

Find the sample standard deviation s of the data: 19, 13, 29, 57, 12.

n = 5
s =
4.Medium
253035404550

Find the sample standard deviation s of the data: 50, 48, 31, 21, 32.

n = 5
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 100 and standard deviation 20. Find the z-score z of a score of 90.

μ = 100σ = 20x = 90
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 100 and standard deviation 12. What proportion P of values is below 124?

μ = 100σ = 12x = 124
P =

Answer key

  1. 1. M = 21.5
  2. 2. x̄ = 24.5
  3. 3. s = 18.6
  4. 4. s = 12.3
  5. 5. z = −0.5
  6. 6. P = 0.9772

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