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
5101520253035

Find the median M of the data: 38, 16, 4, 4, 22, 5.

n = 6
M =
2.Easy
15202530

Find the mean x̄ of the data: 22, 18, 32, 12, 21, 11.

n = 6
x̄ =
3.Medium
152025303540455055

Find the sample standard deviation s of the data: 37, 53, 41, 21, 12, 57, 43.

n = 7
s =
4.Medium
1520253035404550

Find the sample standard deviation s of the data: 11, 18, 13, 54, 51, 45.

n = 6
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 500 and standard deviation 50. Find the z-score z of a score of 530.

μ = 500σ = 50x = 530
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 8. What proportion P of values is below 174.8?

μ = 170σ = 8x = 174.8
P =

Answer key

  1. 1. M = 10.5
  2. 2. x̄ = 19.33
  3. 3. s = 16.26
  4. 4. s = 20.06
  5. 5. z = 0.6
  6. 6. P = 0.7257

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