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SHSAT Math · Statistics & Probability

Mean, Median & Range Practice

Measures of central tendency and spread. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

Find the mean of these values: 11, 22, 42, 47, 45
  • A38
  • B30
  • C66
  • D33
Show answer and explanation

Answer: D

Following the mean median range principles, the answer is 33.

Question 2

A basketball player scored 18, 22, 15, 28, 22 points in 5 games. What is the difference between the mean and the median?
  • A3
  • B1
  • C0
  • D2
Show answer and explanation

Answer: B

Mean = 1055=21\frac{105}{5} = 21. Ordered: 15, 18, 22, 22, 28. Median = 22. Difference = |22 − 21| = 1. Why wrong: • B (2): Error. • C (0): Mean ≠ median here. • D (3): Wrong values.

Question 3

What is the range of the data set 20, 33, 31, 2020,\ 33,\ 31,\ 20?
  • A1313
  • B3333
  • C1515
  • D5353
Show answer and explanation

Answer: A

The range is the greatest value minus the least: 3320=1333 - 20 = 13.

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