Question

Which Statement About The Data Is True? 52 56 60 64 68 72 76 80 A. The difference between the medians is about 4 times the range. B. The difference between the medians is about 4 times the IQR. C. The difference between the medians is about 2 times the range. D. The difference between the medians is about 2 times the IQR.

Answer 1

B

Explanation:

did the test

Answer 2

The answer is "Option B".

Explanation:

IQR for the first boxplot
`= Q_3 - Q_1 = 77-73 = 4`

IQR for the first boxplot
`= Q_3 - Q_1 = 63-59 = 4`

Calculating the median for the first boxplot
`= 76`

Calculating the median for the second boxplot
`= 60`

Calculating the difference:

`\to 76-60 = 16`

therefore, the difference between medians is about 4 times the IQR.