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
1520253035

Find the mean x̄ of the data: 12, 23, 34, 28, 11, 37, 32, 12, 19.

n = 9
x̄ =
2.Easy
101520253035

Find the mean x̄ of the data: 10, 12, 38, 26, 31, 7, 17, 27.

n = 8
x̄ =
3.Medium
152025303540455055

Find the sample standard deviation s of the data: 18, 37, 46, 55, 45, 51, 13.

n = 7
s =
4.Medium
1015202530354045

Find the sample standard deviation s of the data: 34, 35, 49, 10, 33, 22, 29.

n = 7
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 70 and standard deviation 15. What proportion P of values is above 62.5?

μ = 70σ = 15x = 62.5
P =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 500 and standard deviation 25. Find the z-score z of a score of 515.

μ = 500σ = 25x = 515
z =

Answer key

  1. 1. x̄ = 23.11
  2. 2. x̄ = 21
  3. 3. s = 16.31
  4. 4. s = 12.08
  5. 5. P = 0.6915
  6. 6. z = 0.6

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