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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
510152025303540

Find the mean x̄ of the data: 33, 36, 40, 7, 23, 28, 5, 19.

n = 8
x̄ =
2.Easy
5101520253035

Find the median M of the data: 36, 2, 22, 36, 32, 22, 8, 39.

n = 8
M =
3.Medium
2530354045505560

Find the sample standard deviation s of the data: 53, 34, 40, 32, 60, 24, 21.

n = 7
s =
4.Medium
2025303540455055

Find the sample standard deviation s of the data: 55, 36, 41, 22, 16, 17.

n = 6
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 70 and standard deviation 15. Find the z-score z of a score of 47.5.

μ = 70σ = 15x = 47.5
z =
6.Hard
z −2−1012

Exam scores are normally distributed with mean 170 and standard deviation 20. Find the z-score z of a score of 140.

μ = 170σ = 20x = 140
z =

Answer key

  1. 1. x̄ = 23.88
  2. 2. M = 27
  3. 3. s = 14.43
  4. 4. s = 15.51
  5. 5. z = −1.5
  6. 6. z = −1.5

Full step-by-step solutions: practise this topic on examproblems.com.