Box-and-Whisker Plots Percentages

G

Guest

Guest
Ok in this problem:
untitledrz0.jpg


Ok first I know that
- Each small box is 25%, and the box combining the two boxes is 50%
- Each whisker is 25%

My answers:
a) 50%
b) 75%
c) 50%

I have two questions:
1) What if they ask you "What percent of the data is less than 64?" I am confused because there isn't a whisker around the area of the less than 64. All I know is that all the data (whiskers + boxes) has to be 100%
2) What if they ask you "What percent of the data is less than 66 and 92?" How would I divide the boxes or something to get the percentage?

Thanks!

(Sorry the image is big, I wasn't able to get to Photoshop right now)
 
Think very hard on what "no whisker" means. There is a reason why they asked "greater than 64" and NOT "greater than or equal to 64". What's the difference?

The answer to "less than 64" is zero (0)! Why? There is a mass of 25% of your probability AT 64.

This is a good reason why there are many ways to represent data graphically. Each way has its own merits. This is one feature that may seem a little confusing with box and whisker.

On the other hand, it may be just a typo and there should be a whisker. :)
 
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