Chapter 11, Problem 3QC

To determine

To find: The value of the mean median and the mode for each of the data set.

Answer to Problem 3QC

Themean of the data set is $7.7$ , median of the data set is $9.5$ and the mode is $10$ .

Explanation of Solution

Given:

The given data set is $7,5,10,12,4,10,11,6,9,3$ .

Calculation:

Consider the mean of the data set is,

  $\begin{array}{c}Me=\frac{7+5+10+12+4+10+11+6+9+3}{10}\\ =\frac{77}{10}\\ =7.7\end{array}$

Consider the numbers in the ascending order is,

  $3,4,5,6,7,9,10,10,11,12$

Then, the median of the data set is,

  $\begin{array}{c}Me=\frac{9+10}{2}\\ =9.5\end{array}$

There number10 is repeated 2 times so the mode is $10$ .