Chapter 7.1, Problem 26E

To determine

To find:

The mean, median, and mode of given data.

Answer to Problem 26E

  $\text{Mode}=$ no mode , $M_d=14.4$ , $\overline{X}=15.12$

Explanation of Solution

Given:

The data value increases by $20\%$

Concept used:

The median is the middle number in a sorted ascending or descending list of numbers and more descriptive of that data set than the average.

Calculation:

In this data multiplied by $1.2$

The original measures of center are

The mean

  $\overline{X}=12.6$

The median is the middle number

  $M_d=12$

The mode (the most frequent number)

  $\text{Mode}=$ no mode

By multiplied the value of $1.2$ of the new measures of center

The mean

  $\begin{array}{l}\overline{X}=12.6\left(1.2\right)\\ \overline{X}=15.12\end{array}$

The median is the middle number

  $\begin{array}{l}{M}_d=12\left(1.2\right)\\ M_d=14.4\end{array}$

The mode (the most frequent number)

  $\text{Mode}=$ no mode