Mean as Fair Share Statistics Example 2
Follow the full solution, then compare it with the other examples linked below.
Example 2
mediumA 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 Step 1: For a mean of 80 over 5 tests, the total must be .
- 2 Step 2: Current total: .
- 3 Step 3: Required fifth score: .
Answer
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 โMore Mean as Fair Share Examples
Example 1 easy
Five friends have 3, 7, 5, 10, and 5 sweets respectively. If they share all the sweets equally, how
Example 3 easyFour boxes contain 12, 8, 14, and 6 apples. Find the mean number of apples per box.
Example 4 easyThree jars hold 9, 12, and 6 marbles. How many marbles must move from the second jar to the third ja