Question

The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.



Did the cross country team ever score 30 points at a meet?

Answer 1

We cannot tell if the team scored exactly 30 points at a meet.

The information which could be inferred from a boxplot include :

• The minimum = lower position of the whisker = 22
• The maximum value = upper position of the whisker = 42
• The median = vertical line inbetween the box = 34
• The lower quartile (Q1) = starting point of the box = 33

Upper quartile (Q3) = end point of the box = 38

Interquartile range = Q3 - Q1 = (38 - 33) = 5

Hence, one cannot determine if the cross country ever scored 30 points in a meet.

However, we can deduce that the country scored above or below 30 points in a meet.

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