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Comparing
Box and Whisker Plots

We can use the box and whisker
plots above to compare the scores of boys and girls in a test.
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Boys |
Girls |
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Range |
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Median |
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Lower Quartile |
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Upper Quartile |
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IQR = UQ – LQ |
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Comparison 1: The Boy’s Median is
11. The girl’s median is 1 more than this which suggests the girls’ have done
better on average
Comparison 2: The Girls have a larger range, which
suggests that (if we include the worst and best scores) then OVERALL the girls are
less consistent.
HOWEVER, the girls
have a smaller IQR (inter-quartile range) so this means than the MIDDLE 50% of GIRLS are more
consistent than the boys middle 50% of scores.