Suppose you survey 1500 students in three counties and collect the number of brothers and sisters each one has. How would you represent this data? What tools would you use to organize this data? How would you find the median number of siblings?
First watch this video to learn about creating box-and-whisker plots with a calculator.
CK-12 Foundation: Chapter7ApplicationsofBoxandWhiskerPlotsA
Then watch this video to see some examples.
CK-12 Foundation: Chapter7ApplicationsofBoxandWhiskerPlotsB
The following numbers represent the number of siblings in each family for 15 randomly selected students:
Use technology to construct a box-and-whisker plot to display the data.
A box-and-whisker plot can be created with a TI-83 calculator as shown below:
Note that when creating a box-and-whisker plot with a TI calculator, you don't have to actually sort the data. The calculator will sort the data automatically when creating the box-and-whisker plot.
List the five-number summary values for the data in Example A.
The five–number summary can be obtained from the calculator in 2 ways.
a. The following results are obtained by simply using the TRACE feature and the left and right arrows:
The values at the bottom of each screen are the five-number summary.
Construct a box-and-whisker plot using technology to represent the average number of sick days used by 9 employees of a large industrial plant. The numbers of sick days are as follows:
What are the values for the five-number summary?
The screens below show the five-number summary:
The values for the five-number summary are as follows:
The TRACE feature of a TI-83 calculator gives the individual values of the five-number summary of a data set one at a time when used with a box-and-whisker plot.
The following data represents the number of flat-screen televisions assembled at a local electronics company for a sample of 28 days:
Using technology, construct a box-and-whisker plot for the data. What are the values for the five-number summary?
The values for the five-number summary are as shown below:
For each of the following box-and-whisker plots, determine the five-number summary and give one possible data set that could produce the box-and-whisker plot.