Question

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A.The difference of the medians is 2 times the interquartile range
B.The difference of the medians is 3 times the interquartile range.
C.The difference of the medians is 4 times the interquartile range.
D.The difference of the medians is 6 times the interquartile range.

Answer 1

Answer:

C. The difference of the medians is 4 times the interquartile range.

Step-by-step explanation:

The diagram show two box plots.

Mahoney's box plot:

Median $=33$

Interquartile range $=34-32=2$

Martin's box plot:

Median $=41$

Interquartile range $=42-40=2$

The interquartile ranges are the  same.

The difference of the medians $=41-33=8$

Hence, the difference of the medians is 4 times the interquartile range.