Education Technology

# Statistics and Probability / Mean as Balance Point

Activity 5 of 24
In this lesson, students focus on how the mean can be described as the balance point for the distribution of a set of data.

## Planning and Resources

Objectives
Students should identify the mean as the balance point of a distribution.  They find and interpret deviations from the mean as a way to measure the spread of a distribution.

Vocabulary
mean
deviation

Standard:

## Lesson Snapshot

#### Understanding

The mean is the balance point of a distribution; the sum of the absolute deviations for values below the mean is equal to the sum of the absolute deviations for values above the mean.

### What to look for

Have the students think about the number of steps that the teams in last place are from 6. Depending on your focus, you can introduce the concept of absolute value or you can just refer to distance as always being positive.

### Sample Assessment

Given the set {1, 5, 7, 7, 10}, if you add the value 6 to the data, the mean absolute deviation will?
a. Increase
b. Decrease
c. Remain unchanged
d. There is not enough information to tell how the value will affect the mean absolute deviation.