Chapter SH, Problem 13.3MPS

i.

To determine

Draw histogram for given data.

  

Answer to Problem 13.3MPS

Histogram for given data is

  

Explanation of Solution

Given:

  

Calculations:

Here, we have to draw histogram for given data.

Histogram is a vertical bar graph that shows grouped data. Only in histogram, there is no space between bars.

  

Conclusion:

Therefore, we are able to draw histogram for given data..

ii.

To determine

Calculate percent of students that earned more than $10 per hour.

  

Answer to Problem 13.3MPS

There are 56.25% of students who earned more than $10 per hour.

Explanation of Solution

Given:

  

Calculations:

Here, we have to calculate percentage of students that earned more than $10 per hour.

Total number of students are, (6+29+23+12+10) = 80.

According to table given, number of students that earned more than $10 are, (23+12+10) = 45

Thus, to calculate percentage of students that earned more than $10 per hour,

  $\begin{array}{l}Percentageofstudentsearnmorethan\$10=\frac{No.ofstudentsstudentsearnmorethan\$10}{Totalno.ofstudents}\times 100\\ =\frac{45}{80}\times 100\\ =0.5625\times 100=56.25\%\end{array}$

Conclusion:

Therefore, we are able to find the percent of students that earn more than $10 per hour.

iii.

To determine

State the hourly rate that contributes 15% of total data.

  

Answer to Problem 13.3MPS

Hourly rate of 12-13.99 $ will contributes 15% of total data.

Explanation of Solution

Given:

  

Calculations:

Here, we have to findhourly rate that contributes 15% of given data.

Total number of students are, (6+29+23+12+10) = 80.

Here, we have to find 15% of total students and their corresponding hourly rate.

  $\begin{array}{l}x=15\%oftotalnumberofstudents\\ x=\frac{15}{100}\times 80=12\end{array}$

From the given data, corresponding hourly rate for 12 students is 12-13.99$

Conclusion:

Therefore, we are able to find hourly rate of students that contributes 15% of given data.