Question

Calculate the 5-number summary of the skewed dataset 15, 16, 16, 17, 17, 18, 18, 18, 19, 19, 29. When constructing the box plot on a number line, which explains a reason why the dataset is skewed?
• The right whisker is much longer than the left whisker.
• The whiskers are the same length.
• The 5 numbers in the summary are equally spread apart.
• The median is exactly in the middle of the box.

Answer 1

The 5-number summary of the dataset is as follows:
Minimum: 15
Q1 (first quartile): 16.5
Median: 17.5
Q3 (third quartile): 18.5
Maximum: 29

When constructing the box plot on a number line, the reason why the dataset is skewed is that the right whisker is much longer than the left whisker. This indicates that there are outliers on the right side of the dataset, causing it to be skewed to the right.