Mean as Fair Share Statistics Example 1

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

Example 1

easy
Five friends have 3, 7, 5, 10, and 5 sweets respectively. If they share all the sweets equally, how many does each person get?

Solution

  1. 1
    Step 1: Find the total number of sweets by adding all values: 3+7+5+10+5=303 + 7 + 5 + 10 + 5 = 30
  2. 2
    Step 2: The mean is the 'fair share' — divide the total equally among all 5 friends.
  3. 3
    Step 3: Calculate: 305=6\frac{30}{5} = 6 sweets each.

Answer

66 sweets each.
The mean as a fair share redistributes a total equally. This is the intuitive foundation of the arithmetic mean: total divided by count.

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 →

More Mean as Fair Share Examples

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

Example 3 easy

Four boxes contain 12, 8, 14, and 6 apples. Find the mean number of apples per box.

Example 4 easy

Three jars hold 9, 12, and 6 marbles. How many marbles must move from the second jar to the third ja

← All Mean as Fair Share Examples Mean as Fair Share Concept

Related Concepts

Weighted Average