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
246810121416182022

Find the mean x̄ of the data: 19, 2, 10, 17, 22, 8, 18, 4.

n = 8
x̄ =
2.Easy
101520253035

Find the mean x̄ of the data: 20, 38, 31, 34, 32, 12, 23, 33, 7.

n = 9
x̄ =
3.Medium
1520253035404550

Find the sample standard deviation s of the data: 48, 15, 38, 46, 50, 37, 28.

n = 7
s =
4.Medium
152025303540455055

Find the sample standard deviation s of the data: 23, 11, 12, 57, 45, 27.

n = 6
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 100 and standard deviation 8. Find the z-score z of a score of 84.

μ = 100σ = 8x = 84
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 60 and standard deviation 10. What proportion P of values is above 64?

μ = 60σ = 10x = 64
P =

Answer key

  1. 1. x̄ = 12.5
  2. 2. x̄ = 25.56
  3. 3. s = 12.49
  4. 4. s = 18.4
  5. 5. z = −2
  6. 6. P = 0.3446

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