Question

A examination is held between group of boys and girls of a class. The given box and whisker plot represents random samples of the scores obtained in an examination. Who performed more consistently in the examination, boys or girls?

• A. Girls
• B. Equally consistent
• C. Boys
• D. Can't be determined

Answer 1

The correct option is C Boys

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

$=225-210=15$

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

$=230-195=35$

Since IQR for the dataset corresponding to boys is less than that of girls, we can say that the boys performed more consistently in the examination.