Chapter 14, Problem 14SGA

To determine

To find the mean, median and mode of the given data.

Answer to Problem 14SGA

Mean is $5$ , median is $5$ and mode is $4$ .

Explanation of Solution

Given:

The given data is-

  $4,8,2,4,5,5,6,7,4$

Calculation:

Arranging the data in the ascending order as follows-

  $2,4,4,4,5,5,6,7,8$

Finding the mean as follows-

Mean

  $\begin{array}{l}=\frac{2+4+4+4+5+5+6+7+8}{9}\\ =\frac{45}{9}\\ =5\end{array}$

Median will be the middle element as the number of terms are odd.

So, the median is 5^th element and that is $5$ .

The mode is the most frequent occurring element. Here $4$ has occurred most number of times. So the mode is $4$ .