Question

For a spreaded data set around a median, the whiskers are than/to the length of half of the box.

• A. quite longer
• B. quite shorter
• C. equal

Answer 1

The correct option is B quite shorter

Consider the following box and whiskers plot:


In the above box and whiskers plot,
$\bullet$ lower extreme= $0$
$\bullet$ upper extreme= $90$
$\bullet$ middle quartile= $40$
$\bullet$ lower quartile= $15$
$\bullet$ upper quartile= $75$
$\bullet$ inter-quartile range= $75-15=60$

We can conclude that the data set is substantially spread around the middle quartile $40$. That substantial spread of the data set around the median is also clear from the inter-quartile range $60$.

And, we can also come to the conclusion that the $25\%$ data on each of the two whiskers is closely clumped as the lengths of whiskers are relatively smaller than the half length of the box.