Averages word problems, step by step

An average is a fair share: gather everything up, then spread it out evenly.

The question

What was the mean number of points?

Over three quizzes this term, a student scored 26, 33 and 31 points.
26 + 33 + 31 = 90
26 + 33 + 31 = 90
90 ÷ 3 = 30 points
asked:What was the mean number of points?
30 points
  1. Read it through once. The MEAN (average) is the one number that could replace every value and keep the same total — it is the total shared out equally, not any single value.
  2. Add all the values to get the total: 26 + 33 + 31 = 90.
  3. Divide the total by how many values there are: 90 ÷ 3 = 30 points. That is the mean.
  4. Answer the question that was asked — "What was the mean number of points?" — 30 points.

How it works.

  1. 01

    Read it through once. The MEAN (average) is the one number that could replace every value and keep the same total — it is the total shared out equally, not any single value.

  2. 02

    Add all the values to get the total: 26 + 33 + 31 = 90.

  3. 03

    Divide the total by how many values there are: 90 ÷ 3 = 30 points. That is the mean.

  4. 04

    Answer the question that was asked — "What was the mean number of points?" — 30 points.