Statistics · Centre and spread

How to Find the Mean

Problem

4, 9, 7, 8, 124,\ 9,\ 7,\ 8,\ 12

Answer

mean 8\text{mean } 8

The mean is the balance point of a data set. Add every value, then divide by how many values there are.

Step-by-step solution

  1. Add all the values.

    4+9+7+8+12=404 + 9 + 7 + 8 + 12 = 40

    Why: The mean starts with the total of the data set.

  2. Count the values.

    5 values5\ \text{values}

    Why: The divisor is the number of values, not the largest value.

  3. Divide the total by the count.

    40÷5=840 \div 5 = 8

    Why: The mean is the total shared equally among the values.

Common mistakes

  • Dividing by the wrong count. Count every value once.
  • Forgetting a value when adding.
  • Calling the mean the median. The mean uses every value.

Practice problems

Use the same method. Work each problem on paper, then open the answer to check.

  1. 2, 4, 62,\ 4,\ 6

    Show answer

    mean 4\text{mean } 4

  2. 10, 20, 30, 4010,\ 20,\ 30,\ 40

    Show answer

    mean 25\text{mean } 25

  3. 5, 5, 5, 55,\ 5,\ 5,\ 5

    Show answer

    mean 5\text{mean } 5

  4. 3, 7, 8, 63,\ 7,\ 8,\ 6

    Show answer

    mean 6\text{mean } 6

  5. 1, 2, 3, 4, 51,\ 2,\ 3,\ 4,\ 5

    Show answer

    mean 3\text{mean } 3