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
510152025

Find the median M of the data: 2, 22, 6, 6, 25, 13.

n = 6
M =
2.Easy
46810121416182022

Find the mean x̄ of the data: 23, 19, 3, 22, 10, 3, 23, 21, 3, 20.

n = 10
x̄ =
3.Medium
25303540

Find the sample standard deviation s of the data: 44, 43, 44, 22, 24.

n = 5
s =
4.Medium
20253035404550

Find the sample standard deviation s of the data: 39, 17, 43, 33, 50.

n = 5
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 70 and standard deviation 5. Find the z-score z of a score of 66.

μ = 70σ = 5x = 66
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 60 and standard deviation 15. What proportion P of values is below 52.5?

μ = 60σ = 15x = 52.5
P =

Answer key

  1. 1. M = 9.5
  2. 2. x̄ = 14.7
  3. 3. s = 11.35
  4. 4. s = 12.48
  5. 5. z = −0.8
  6. 6. P = 0.3085

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