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: 19, 36, 39, 13, 8, 30, 14, 5.

n = 8
x̄ =
2.Easy
10152025303540

Find the mean x̄ of the data: 9, 14, 12, 10, 32, 40.

n = 6
x̄ =
3.Medium
20253035404550

Find the sample standard deviation s of the data: 41, 44, 17, 50, 20, 25, 31.

n = 7
s =
4.Medium
15202530354045505560

Find the sample standard deviation s of the data: 17, 37, 11, 60, 52.

n = 5
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 100 and standard deviation 15. What proportion P of values is above 77.5?

μ = 100σ = 15x = 77.5
P =
6.Hard
z −2−1012

A quantity is normally distributed with mean 170 and standard deviation 12. What proportion P of values is below 158?

μ = 170σ = 12x = 158
P =

Answer key

  1. 1. x̄ = 20.5
  2. 2. x̄ = 19.5
  3. 3. s = 12.69
  4. 4. s = 21.31
  5. 5. P = 0.9332
  6. 6. P = 0.1587

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