# Box and Whisker

Last updated 9 years ago

Discipline:
Math
Subject:
Algebra I
8   The nice thing about a box and whisker graph is that the percentages never change! Also, we can use the calculator to find all the necessary data.

Sharks!Watch Out!

Using Your CalculatorStep 1) Hit [STAT] then "Edit"Step 2) Type in your data into the L1 listStep 3) Hit [STAT}, arrow over to the "Calc" tab, and select "1-Var Stats". Scroll down to get the data you need!

EXAMPLEA number of students tried to count all the fish in the aquarium. Here are their totals below.15 16 18 18 21 23 28

The median in this example is 18. If you count off from the left and right, you will get to the middle of the number set, which would be 18.

The Upper Quartile is 22. If you start at the median and the end of the number set (the max side) and count in, you come between 21 and 23. The average of those two numbers is 22, which is the UQ.

The Lower Quartile is 17. If you start at the median and end of the number set (the min side) and count in, you come between 16 and 18. The average of those two numbers is 17, which is the LQ.

The Range is 13. The max (28) minus the min (15) gives us the range

The Inter-Quartile Range is 5. The Upper Qartile (22) minus the Lower Quartile (17) gives us this.

25%

25%

25%

25%

Percentages?The percentages between each mark (min, LQ, median, UQ, max) is 25% of the data!