Before viewing this page, it would be helpful to learn how to calculate Quartiles.
Box-and-whisker plots are graphs showing five-number summary statistics (lowest score, 1st quartile, median or 2nd quartile, 3rd quartile, highest score) as follows:
People from the Netherlands (Dutch people) are the world's tallest people with an average height of 1.85 metres. As a nation, people from Japan are the world's shortest people with an average height of 1.63 metres.
The waist to ankle lengths (in cm) for 15 Dutch men are listed below. By first calculating the five-number summary, show this information as a boxplot.
Ordered Data (from smallest to largest) - 90, 91, 92, 94, 97, 98, 98, 100, 100, 105, 106, 107, 110, 111, 112
Answer:
n = 15
Lowest Score = 90 cm
1st Quartile | = (n + 1) ÷ 4 | = (15 + 1) ÷ 4 | = 4th man | = 94 cm |
Median | = (n + 1) ÷ 2 | = (15 + 1) ÷ 2 | = 8th man | = 100 cm |
3rd Quartile | = (n + 1) ÷ 4 × 3 | = (15 + 1) ÷ 4 × 3 | = 12th man | = 107 cm |
Highest Score = 112 cm
The waist to ankle lengths for 11 Japanese men are listed below. By first calculating the five-number summary, show this information as a boxplot.
Ordered Data (in cm) - 70, 71, 73, 75, 75, 78, 79, 82, 85, 86, 88
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