Chapter 11.7, Problem 28PPSE

Solution

To find: To make a box-and-whisker plot for each set of values.

The box-and-whisker plot for the given data is:

  

Given information:

Given dataset is:

  $25,25,30,35,45,45,50,55,60,60$

Calculation:

The given data is in ascending order.

The minimum and maximum values are 25 and 60.

The number of values given is 10 i.e., even number of values. So the median is given by:

  $M=\frac{45+45}{2}=\frac{90}{2}=45$

Hence $Q_2=45$

The two halves on either sides of the median are $25,25,30,35,45$ and $45,50,55,60,60$ .

Medians of the first and second halves are $Q_1=30$ and $Q_3=55$ respectively.

Making a box-and-whisker plot from the above data:

  

Conclusion:

The box-and-whisker plot for the given data is: