Chapter 14.2, Problem 6CFU

To determine

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

Answer to Problem 6CFU

The mean is $28$ , the median is $28.5$ and the mode is 31.

Explanation of Solution

Given:

The given data set is,

  $\left\{10,45,58,10\right\}$

Calculation:

Consider the given data is,

  $\left\{24,28,21,37,31,29,23,22,34,31\right\}$

The mean of the given data set is,

  $\begin{array}{c}\overline{X}=\frac{24+28+21+37+31+29+23+22+34+31}{10}\\ =\frac{280}{10}\\ =28\end{array}$

Consider the median of the given data set is,

  $\begin{array}{c}{M}_d=\frac{28+29}{2}\\ =\frac{57}{2}\\ =28.5\end{array}$

Consider the mode of the data set is the most frequent value. For the given data set the mode is 31.

Thus, the mean is $28$ , the median is $28.5$ and the mode is 31.