Chapter 11.1, Problem 16E

(a)

To determine

To find the outlier.

Answer to Problem 16E

46.

It increases the Mean.

Explanation of Solution

Given information: $2,3,5,2,1,46,3,7,2,1$

Calculation:

  $2,3,5,2,1,46,3,7,2,1$

The outlier is 46 as 46 is unusually far from the middle.

Hence,

In most cases, outliers have influence on mean, but not on the median, or mode.

So,

In this case, it increases the Mean.

(b)

To determine

To explain the outlier.

Answer to Problem 16E

In most cases, outliers have influence on mean, but not on the median, or mode.

Explanation of Solution

Given information: $2,3,5,2,1,46,3,7,2,1$

Calculation:

An outlier is a value in a data set that is very different from the other values. That is, outliers are values unusually far from the middle. In most cases, outliers have influence on mean, but not on the median, or mode.