Student Summary

The mean (also called the average) is one number we use to describe a whole data set. To find the mean, we use a 3-step procedure:

  1. ADD all the values in the data set.
  2. COUNT how many values there are. Call this number nn.
  3. DIVIDE the sum by nn.

For example, to find the mean of {4,6,8,6,6}\{4, 6, 8, 6, 6\}:

  • Sum: 4+6+8+6+6=304 + 6 + 8 + 6 + 6 = 30
  • Count: there are 55 values.
  • Mean: 30÷5=630 \div 5 = 6.

So the mean of this data set is 6.

The procedure works the same way for decimal data sets. To find the mean of {2.5,3.0,3.5,4.0,2.0}\{2.5, 3.0, 3.5, 4.0, 2.0\}: sum is 15.015.0, count is 55, mean is 15.0÷5=3.015.0 \div 5 = 3.0.

Visual / Anchor Chart

Standards

Addressing
6.SP.3

Recognize that a measure of center for a quantitative data set summarizes all of its values with a single number while a measure of variation describes how its values vary with a single number.

6.SP.5.c

Summarize quantitative data sets in relation to their context.