Chapter 14.2, Problem 5CFU

To determine

To find: Themean, median and the mode of each of the data set.

Answer to Problem 5CFU

The mean is 30.75, the median is 27.5 and the mode is 10.

Explanation of Solution

Given:

The given data set is,

  $\left\{10,45,58,10\right\}$

Calculation:

Consider the given data is,

  $\left\{10,45,58,10\right\}$

The mean of the given data set is,

  $\begin{array}{c}\overline{X}=\frac{10+45+48+10}{4}\\ =\frac{123}{4}\\ =30.75\end{array}$

Consider the median of the given data set is,

  $\begin{array}{c}{M}_d=\frac{10+45}{2}\\ =\frac{55}{2}\\ =27.5\end{array}$

Consider the mode of the data set is the most frequent value. For the given data set the mode is 10.

Thus, the mean is 30.75, the median is 27.5 and the mode is 10.