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The difference in the medians is ___ times the IQR

The difference in the medians is ___ times the IQR-example-1
The difference in the medians is ___ times the IQR-example-1
The difference in the medians is ___ times the IQR-example-2

1 Answer

4 votes

Answer:

1/3

Explanation:

You want the difference in medians in terms of the IQR.

IQR

The IQR is the difference of the numbers at the ends of the box.

top distribution: IQR = 12 -6 = 6

bottom distribution: IQR = 14 -8 = 6

Medians

The median of each distribution is the location of the line in the box.

top distribution: median = 11

bottom distribution: median = 9

Difference

The difference in medians is 11 -9 = 2. The ratio of that to the IQR is ...

2/6 = 1/3

The difference in medians is 1/3 times the IQR.

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