Write a set of data that, when displayed in a box plot, Will result in a long box and short whiskers. Draw the box plot.
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Consider the ordered dataset: 3, 3, 3, 4, 5, 7, 9, 11, 12, 13, 13, 13.

The data divides into two halves: 3, 3, 3, 4, 5, 7 and 9, 11, 12, 13, 13, 13. The median of all the data is between 7 and 9 so median=8. The medians of the two halves are 3.5 and 12.5, the values midway between 3 and 4 and 12 and 13. These are the first and third quartiles.

So Q1=3.5, Q2=8, Q3=12.5 for the quartiles. The box plot is shown below:

The whiskers are short because data outside the interquartile range are close to the limits of this range.

by Top Rated User (677k points)

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