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ASVAB · Averages and Statistics

A student scored 82, 90, and 95 on three tests. What score must the student earn on a fourth test to have an average of 90?

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Correct answer

93

  1. A 95
  2. B 93
  3. C 90
  4. D 88

Why this is the answer

To average 90 over four tests, the total of all four scores must be 4 × 90 = 360. The three known scores add to 82 + 90 + 95 = 267. The needed fourth score is 360 − 267 = 93. Average problems where you must find a missing value are solved by working from the required total: multiply the desired average by the number of items to get the total needed, then subtract the scores you already have. The student needs a 93 on the fourth test to reach a 90 average.
Source: ASVAB AR, Average to Reach Target

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About this topic: Averages and Statistics

Averages and statistics questions cover mean, median, mode and range, including working backwards from a known average to a missing value. Sort the data before finding a median, and remember the mean must lie between the smallest and largest values. This is one of 8 Arithmetic Reasoning questions on averages and statistics, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

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