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 mean x̄ of the data: 33, 28, 38, 33, 37, 5, 10, 19, 6.

n = 9
x̄ =
2.Easy
1015202530

Find the mean x̄ of the data: 16, 20, 18, 17, 34, 7.

n = 6
x̄ =
3.Medium
101520253035404550

Find the sample standard deviation s of the data: 50, 42, 20, 13, 48, 10, 50.

n = 7
s =
4.Medium
303540455055

Find the sample standard deviation s of the data: 54, 57, 27, 42, 44, 30, 58.

n = 7
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 500 and standard deviation 60. What proportion P of values is above 440?

μ = 500σ = 60x = 440
P =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 100 and standard deviation 12. Find the z-score z of a score of 88.

μ = 100σ = 12x = 88
z =

Answer key

  1. 1. x̄ = 23.22
  2. 2. x̄ = 18.67
  3. 3. s = 18.17
  4. 4. s = 12.59
  5. 5. P = 0.8413
  6. 6. z = −1

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