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The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grades at Lincoln Middle School. Two box and whisker plots are shown above a number line. The number line is scaled from 2 to 38 by twos. The first plot above the number line is labeled seventh grade. On the seventh grade plot: The left point is at 6. The left side of the box is at 14. The vertical segment inside the box is at 18 . The right side of the box is at 22. The right point of the plot is at 26. The eighth grade plot is above the seventh grade plot. On the eighth grade plot: The left point is at 22. The left side of the box is at 26. the vertical segment inside the box is at 30. The right side of the box is at 34. The right point of the plot is at 38.
a) Describe the overlap of the two sets of data.

b) Find the IQR of each set.

c) Find the difference between the medians of the sets.

d) What number multiplied by the IQR equals the difference between the medians of the two sets?

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  1. A: The overlap of the two sets is 2.2 which is the differences of the medians divided by the IQR . B: The IQR of the two sets is 8. C: The difference of the two medians is 22. D: The number is 2.2. hope this helps.

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  2. Thank you

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  3. Watch the Khan academy video about IQR. It really helped me fill out the IQR part. I'm not so sure about the overlapping box and whisker plots

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  4. How did you get 2.2? I got 1.11 but I think I did it wrong. The medians I found are 10 and 1.12 and I subtracted them to get 1.11???

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  5. 10 − 1.12 =
    8.88
    I put it in a calculator and I got 8.8!?

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  6. i think its 8.8

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