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Question

Which is the correct box plot for the following data set?
45, 57, 63, 48, 39, 52, 56, 67, 52, 58, 44

A
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B
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C
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D
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Solution

The correct option is B
The data set is arranged in ascending orders as follows.
39, 44, 45, 48, 52, 52, 56, 57, 58, 63, 67
The data set has 11 values. So, the sixth number is the median.
Median = 52
Lower half data: 39, 44, 45, 48, 52
Lower quartile = median of lower half data = 45
Upper half data: 56, 57, 58, 63, 67
Upper quartile = median of upper half data = 58
Minimum value = 39
Maximum value = 67

So, Option A represents the box plot of the given data.

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