Question

An examination is held for groups of boys and girls of a class. The given box and whisker plot represents random samples of the scores obtained in an examination. Who among boys or girls performed more consistently in the examination?

• A. Boys
• B. Girls
• C. Cannot be determined
• D. Both

Answer 1

The correct option is A Boys

For boys:
$\text{IQR = Third quartile – First quartile}$

$=225-210=15$

For girls:
$\text{IQR = Third quartile – First quartile}$

$=230-195=35$

Since the IQR for the data set that corresponds to boys is less than the one that corresponds to girls, we can say that the boys performed more consistently in the examination.