The given box and whisker plot represents random samples of the scores obtained in an examination by a group of $100$ boys and girls. Who performed more consistently in the examination, boys or girls?
(Hint: Lesser IQR means more consistent.)

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Solution

For boys:
IQR $=$ Third quartile $-$ First quartile $= 225 - 210 = 15$

For girls:
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.

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The given box and whisker plot represents random samples of the scores obtained in an examination by a group of 100 boys and girls. Who performed more consistently in the examination, boys or girls? (Hint: Lesser IQR means more consistent.)

For boys: IQR = Third quartile − First quartile =225−210=15 For girls: 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.

The given box and whisker plot represents random samples of the scores obtained in an examination by a group of $100$ boys and girls. Who performed more consistently in the examination, boys or girls?
(Hint: Lesser IQR means more consistent.)

For boys:
IQR $=$ Third quartile $-$ First quartile $= 225 - 210 = 15$

For girls:
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.