Question

# Which of the following gives the inter quartile range of the data?

A
50
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B
45
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C
55
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D
20
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Solution

## The correct option is D 20The given dot plot is The data set is 40, 50, 60, 60, 60, 70, 70, 80, 90 Inter quartile range (IQR) = Upper quartile(Q3) - Lower quartile(Q1) Let us arrange the data in ascending order, we get 40, 50, 60, 60, 60, 70, 70, 80, 90 The lower half data is 40, 50, 60, 60 Median (Lower quartile (Q1)) = 50+602 = 1102 = 55 The upper half data is 70, 70, 80, 90 Median (Upper quartile (Q3)) = 70+802 = 1502 = 75 Inter quartile rane = Upper quartile - Lower quartile = 75 - 55 = 20 Hence, inter quartile range of the given data is 20.

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