The difference between the upper quartile and the lower quartile of a data set is:

median

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interquartile range

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whiskers

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none of the above

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Solution

The correct option is B interquartile range
The lower quartile is the median of the data points to the left of the median.

The upper quartile is the median of the data points to the right of the median.

The difference between the upper quartile and the lower quartile of a data set is called as interquartile range.

Example:
Consider the box and whisker plotThe interquartile range of the above data set is $12 - 7 = 5.$

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Similar questions

Calculate Lower Quartile and Upper Quartile from the following data :

$\begin{matrix} X & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 f & 15 & 20 & 25 & 24 & 12 & 31 & 71 & 52 \end{matrix}$

For the given set of numbers, the lower quartile, the upper quartile and inter quartile range is
2, 4, 13, 14, 19, 20, 27

Q. Inter-quartile range is the difference between the upper and the lower extreme values.

Q. Choose the correct option with respect to the box and whiskers plot.

Statement I: The median of a data set is called the middle quartile.

Statement II: The medians which give the lower and upper 25% of the data set are called lower quartile and upper quartile, respectively.

Statement III: The lower and upper extremes are the lowest and the highest data points, respectively.

Q. If the lower and upper quartiles of a data are

4

and

12

, then the quartile deviation is ____

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