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[Please help!]
The box plots show male and female grades in a sociology class.
(Box plots shown below)

Which of the following best describes the information about the interquartile ranges? (1 point)


The interquartile range for males is larger than the females by more than 10 points.


The interquartile range for females is larger by more than 10 points.


The interquartile range for females is larger by about 5 points.


The interquartile range for males is larger than the females by about 5 points.

[Please help!]The box plots show male and female grades in a sociology class. (Box plots shown below)Which of the following best describes the information about class=

Answer :

Answer: Choice C, IQR for females is larger by about 5 points

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Explanation:

IQR = interquartile range

Check out the attached image below. In that image, I marked on your drawing to show where the edges of the box touches the x axis. This will help determine the values of Q1 and Q3 for each box plot.

Keep in mind that these are estimates. Unfortunately there isn't any way for sure to know the true values of Q1 and Q3. This is because of how the tickmarks are set up (specifically the fact that neither Q1 nor Q3 land on a tickmark). For the females, Q1 and Q3 are about 82 and 95. So

IQR for females = Q3 - Q1 = 95 - 82 = 13

Then for the male group, I got 88 and 97 for Q1 and Q3 respectively. So,

IQR for males = Q3 - Q1 = 97 - 88 = 9

The difference of the IQRs is then 13 - 9 = 4 which is close to 5. Again the Q1 & Q3 values are estimates.

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