Question

A boxplot for a set of 64 scores is given below.

How many scores are represented in the blue section of the boxplot?

Answer 1

The boxplot gives the quantile distributuon of values in a particular distribution. The blue section of the boxplot contains 16 score values

• The blue section of the boxplot marks the value of the end of the upper quartile of the distribution ; 3rd quartile

• The percentage number of scores in each quartile is 25%

• The blue section contains values from the 75% to 100%

• This means that 25% of the scores represented by the boxplot are in this section.

• Total number of scores = 64

• 25% of 64 = 16

Hence, 16 scores are represented in the blue section of the boxplot.

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