Chapter 10.1, Problem 12IP

To determine

To find: the appropriate measure of centre.

Answer to Problem 12IP

Mean is the most appropriate measure which can be used to attract people to work.

Explanation of Solution

Given information:

Dataset representing hourly wages of employees is as follows

4 $7,24,8,10,6,8,8$ .

Formula used:

1) $\text{mean=}\frac{\text{Sum}\text{of}\text{the}\text{data}}{\text{number}\text{of}\text{items}\text{in}\text{data}\text{set}}$

2) median= middle number of data arranged from least to greatest.

3) mode = number or data occurred most often.

Calculation:

Hourly wages of employees are as follows

  $7,24,8,10,6,8,8$

Calculate mean of hourly wages

Mean = $\frac{7+24+8+10+6+8+8}{7}$

  $=\frac{71}{7}$

  $=10.14$

Calculate median of hourly wages

Arrange the hourly wages in ascending order.

  $6,7,8,8,8,10,24$

Since number of hourly wages is odd that is 7 so median is $4^{th}term$

Median = $8$

Calculate mode of hourly wages

Arrange the hourly wages in ascending order.

  $6,7,8,8,8,10,24$

Mode = $8$

As mean is the greatest, it is the best measure to attract the people to work.