Mean as Fair Share Statistics Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
A student scores 72, 85, 90, and 69 on four tests. What score does she need on a fifth test to have a mean of 80?

Solution

  1. 1
    Step 1: For a mean of 80 over 5 tests, the total must be 80ร—5=40080 \times 5 = 400.
  2. 2
    Step 2: Current total: 72+85+90+69=31672 + 85 + 90 + 69 = 316.
  3. 3
    Step 3: Required fifth score: 400โˆ’316=84400 - 316 = 84.

Answer

8484
Working backwards from a desired mean uses the fair-share idea in reverse: we know the target per-item share and the number of items, so we can find the needed total and then the missing value.

About Mean as Fair Share

The mean (average) represents what each person would get if the total were divided equally among everyone. It is calculated by adding all values and dividing by the count, giving a single number that summarizes the center of the data.

Learn more about Mean as Fair Share โ†’

More Mean as Fair Share Examples