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Thread: Box-and-Whisker Plots Percentages

  1. #1
    Guest

    Box-and-Whisker Plots Percentages

    Ok in this problem:


    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)

  2. #2
    Elite Member
    Join Date
    Apr 2005
    Location
    USA
    Posts
    8,224
    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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