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
20253035

Find the mean x̄ of the data: 27, 17, 18, 29, 39, 25.

n = 6
x̄ =
2.Easy
6810121416182022

Find the median M of the data: 6, 18, 22, 5, 15, 19, 23.

n = 7
M =
3.Medium
4045505560

Find the sample standard deviation s of the data: 44, 36, 57, 55, 55, 48, 60.

n = 7
s =
4.Medium
152025303540455055

Find the sample standard deviation s of the data: 30, 12, 43, 17, 57.

n = 5
s =
5.Hard
z −2−1012

Exam scores are normally distributed with mean 50 and standard deviation 12. Find the z-score z of a score of 32.

μ = 50σ = 12x = 32
z =
6.Hard
z −2−1012

A quantity is normally distributed with mean 500 and standard deviation 100. What proportion P of values is below 700?

μ = 500σ = 100x = 700
P =

Answer key

  1. 1. x̄ = 25.83
  2. 2. M = 18
  3. 3. s = 8.48
  4. 4. s = 18.54
  5. 5. z = −1.5
  6. 6. P = 0.9772

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