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: 36, 23, 40, 33, 23, 3, 36, 29, 10.

n = 9
x̄ =
2.Easy
5101520253035

Find the mean x̄ of the data: 7, 2, 11, 27, 29, 13, 38, 31, 28, 2.

n = 10
x̄ =
3.Medium
1015202530354045

Find the sample standard deviation s of the data: 10, 39, 45, 22, 17, 33.

n = 6
s =
4.Medium
1520253035404550

Find the sample standard deviation s of the data: 43, 15, 33, 18, 39, 51.

n = 6
s =
5.Hard
z −2−1012

A quantity is normally distributed with mean 60 and standard deviation 20. What proportion P of values is below 40?

μ = 60σ = 20x = 40
P =
6.Hard
z −2−1012

A quantity is normally distributed with mean 60 and standard deviation 12. What proportion P of values is below 64.8?

μ = 60σ = 12x = 64.8
P =

Answer key

  1. 1. x̄ = 25.89
  2. 2. x̄ = 18.8
  3. 3. s = 13.53
  4. 4. s = 14.2
  5. 5. P = 0.1587
  6. 6. P = 0.6554

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