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Look at the box plots below. Which is a

true statement?

A. If you moved the students from the top
25% in Class 1 into Class 2, the Class 2
median would increase.
B. If you omitted the student(s) who did
no homework in Class 1, the IQR for
Class 1 would increase.
C. If you combined the data from both
classes onto one box plot, the range
would be 105.
D. If you combined the data from both
classes onto one box plot, the median
would be double the current median for
Class 1.


ANSWER ASAP PLEASE!! THANKS

Look at the box plots below. Which is a true statement? A. If you moved the students-example-1
User Adara
by
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1 Answer

1 vote

Answer:

A. If you moved the students from the top 25% in Class 1 into Class 2, the Class 2 median would increase.

Explanation:

You want to know the effect of changing or combining class data, given the box plots show two classes with the same median.

We can consider the choices:

A. C2 median would increase

The medians of the two classes are the same. The maximum value of Class 1 is in the third quartile of Class 2, so the top 25% of Class 1 would be added to the data values currently in the 3rd quartile of Class 2.

In general, one might expect that adding data values above the median will raise the median. Whether this is actually true depends on the details of the distribution and the number of data points added.

It is probably true that the Class 2 median would increase.

B. C1 IQR would increase

The students who did no homework in Class 1 are the reason for the whisker extending to 0. Removing those from the data set will increase the minimum, likely increasing the value of Q1. This will cause the IQR to be reduced, not increased.

C. Range to 105

The range of the combined data sets will be the difference of the largest maximum (70) and the smallest minimum (0). The combined range will be 70, not 105.

D. Median

Combining two data sets with the same median will result in a set of data with the same median. The median will not change, as half the combined data will be above it, and half the combined data will be below it.

Choice A is the only one that makes sense.

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User Nathan Bedford
by
8.9k points

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