The dot plots below show the number of pairs of shoes sold at two stores each day during November. What is the difference of the medians as a multiple of the interquartile range?

the numbers for pairs of shoes sold for store one are 16 18 20 22 24 26 28 30 and 32 and the dots for each one are none for 16 4 for 18 2 for 20 4 for 22 3 for 24 4 for 26 7 for 28 1 for 30 and 5 for 32

store 2's numbers are 22 24 28 30 32 34 36 38 dots for each number are as follow 1 for 22 and 1 for 24 4 for 26 and for 28 aswell 5 for 30 6 for 32 4 for 34 3 for 36 and 2 for 38

1 answer

First, we need to find the medians and interquartile ranges for each store.

For store 1:
- Median = 24
- Q1 (first quartile) = 20
- Q3 (third quartile) = 28
- IQR (interquartile range) = Q3 - Q1 = 8

For store 2:
- Median = 32
- Q1 = 28
- Q3 = 36
- IQR = 8

The difference of the medians is:
32 - 24 = 8

And as a multiple of the IQR:
8 รท 8 = 1

Therefore, the difference of the medians as a multiple of the IQR is 1.
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