Question

Consider the following statements regarding the box and whiskers plot, and choose the correct option.

Statement I: It shows the distribution of data set at a glance.

Statement II: It does not indicate the existence of unusual behaviors on outliers.

• A. Only statement I is correct.
• B. Both statements are correct.
• C. Both statements are incorrect.
• D. These statements cannot be generalized.

Answer 1

The correct option is A Only statement I is correct.

Consider the following box and whiskers plot.


Here, we observe that the first whisker and two halves of the box have approximately equal interval.

Hence, without analyzing the exact data points, it can be inferred that first (25+25+25)% = 75% of the data are evenly distributed.

$\therefore$ Statement I is correct.

Moreover, the second whisker is comparatively longer than the rest of the intervals.
Hence, there is a chance that the given data set has an outlier.

$\therefore$ The box and whiskers plot indicates the existence of unusual behaviors on outliers, i.e., statement II is wrong.