Question

let’s say you have a numerical data set with 15 entries. how much will the mean increase if you increase one entry by 60?

Answer 1

4

Explanation:

Let the sum of the numbers of the set be x.

The mean of the set will be
`(x)/(15)`.

If one entry is increased by 60, that means the new sum of the numbers of the set will be x + 60. Therefore, the new mean will be
`(x+60)/(15)`.

We can rewrite
`(x+60)/(15)` as
`(x)/(15)` +
`(60)/(15)` =
`(x)/(15)` + 4.

So:

Original mean =
`(x)/(15)`

New mean =
`(x)/(15)` + 4

As you can see, the new mean is 4 more than the original mean.