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Question

Which of the following box plots indicate median = 50, lower quartile = 20 and upper quartile = 70?

A
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C
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D
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Solution

The correct option is B
In a box plot ,


the box is drawn from the first quartile to third quartile and the vertical line inside the box indicates the median.


The given values are, median = 50, lower quartile = 20 and upper quartile = 70.


In the first plot,


lower quartile = 50, median = 60 and upper quartile = 80
This does not satisfy the given values.


In the next plot,


the lower quartile = 40, median = 60 and the upper quartile = 80.
This does not satisfy the given values.


In the next plot,


Lower quartile = 20 , median = 50 and upper quartile = 70
This satisfies the given values.


In the next plot,


the lower quartile is 20, median is 30 and the upper quartile is 50.
This does not satisfy the condition.

Hence, the plot,


gives the median, lower quartile, upper quartile as 50, 20 and 70, respectively.

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