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
510152025303540

Find the mean x̄ of the data: 39, 11, 40, 2, 7, 37, 4.

n = 7
x̄ =
2.Easy
5101520253035

Find the mean x̄ of the data: 20, 10, 23, 37, 23, 23, 4, 34, 9, 2.

n = 10
x̄ =
3.Medium
15202530354045

Find the sample standard deviation s of the data: 46, 12, 47, 45, 37, 36.

n = 6
s =
4.Medium
3540455055

Find the sample standard deviation s of the data: 58, 56, 34, 53, 53, 47.

n = 6
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 100 and standard deviation 5. What proportion P of values is below 105?

μ = 100σ = 5x = 105
P =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 500 and standard deviation 60. Find the z-score z of a score of 410.

μ = 500σ = 60x = 410
z =

Answer key

  1. 1. x̄ = 20
  2. 2. x̄ = 18.5
  3. 3. s = 13.2
  4. 4. s = 8.75
  5. 5. P = 0.8413
  6. 6. z = −1.5

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