Mean as Fair Share Statistics Example 4

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

Example 4

easy
Three jars hold 9, 12, and 6 marbles. How many marbles must move from the second jar to the third jar so that all three jars have the same number?

Solution

  1. 1
    Step 1: Total marbles = 9+12+6=279 + 12 + 6 = 27, so an equal share is 273=9\frac{27}{3} = 9 marbles per jar.
  2. 2
    Step 2: The second jar has 3 too many and the third jar has 3 too few, so move 33 marbles from the second jar to the third jar.

Answer

Move 33 marbles from the second jar to the third jar.
The fair-share view of the mean helps us see redistribution problems. Once we know the equal target for each group, we can identify how much must move to balance the sets.

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.

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