Chapter 12.3, Problem 15PPE

To determine

To find: How many sales does the salesperson need in the tenth week to meet the target average.

Answer to Problem 15PPE

  $x=15$ .

Explanation of Solution

Given information:

A line plot is given showing the number of weekly sales made by a sales person in first nine week. Desired average is $14$ sales each week.

  

Calculation:

Line plot for the given data set is as below and desired average is $14$ .

Let us suppose required sale in last week is $x$ .

  

  $\begin{array}{l}\text{Mean}=\frac{\text{Sum of data values}}{\text{Total number of data values}}\\ \Rightarrow \text{14}=\frac{\left(12\times 1\right)+\left(13\times 2\right)+\left(14\times 3\right)+\left(15\times 3\right)+x}{10}\\ \Rightarrow \text{140}=12+26+42+45+x\\ \Rightarrow x=140-125\\ \Rightarrow x=15\end{array}$

Hence, desired value is $x=15$ .