# If you are examining the height of a population, how would the variation be affected if everyone is wearing platform shoes that are exactly 3 inches tall?

##### 1 Answer

The variation will not be affected in any way.

#### Explanation:

Let's calculate the variations in both cases:

**Case 1 - without platform shoes**

Let the set of heights be

Let's calculate the mean and variation:

Mean

Variation:

**Case 2 - with platform shoes**

Let now the set of heights be

Let's calculate mean and variation:

Mean:

So we can see that the mean is increased by 3.

Variation:

So we see, that the variation remains unchanged if the same number is added to (or substracted from) all data in a set.