Chapter 14, Problem 41SGA

a

To determine

To make the stem and leaf plot of the numbers of injuries.

Answer to Problem 41SGA

  $5,10,30$

Explanation of Solution

Given:

The numbers of job related injuries at a construction site for each month of 2004 are listed below-

  

Calculation:

The following is the plot of the stem leaf injuries-

  

b

To determine

To find the mean of the data.

Answer to Problem 41SGA

  $21.75$

Explanation of Solution

Given:

The numbers of job related injuries at a construction site for each month of 2004 are listed below-

  

Calculation:

Finding the mean as follows-

Mean

  $\begin{array}{l}=\frac{10+13+15+39+21+24+19+16+39+17+23+25}{12}\\ =21.75\end{array}$

c

To determine

To find the median of the data.

Answer to Problem 41SGA

  $20$

Explanation of Solution

Given:

The numbers of job related injuries at a construction site for each month of 2004 are listed below-

  

Calculation:

Arranging the data in ascending order as follows-

  $10,13,15,16,17,19,21,23,24,25,39,39$

Here number of terms are $12$ which is even.

So, the median will be the average of 6^th and 7^th element.

  $\begin{array}{l}=\frac{19+21}{2}\\ =20\end{array}$

d

To determine

To find the mode of the data.

Answer to Problem 41SGA

  $39$

Explanation of Solution

Given:

The numbers of job related injuries at a construction site for each month of 2004 are listed below-

  

Calculation:

The mode is the most frequent occurring element. Here $39$ has occurred most number of times. So the mode is $39$ .