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Chapter 2: Problem 84

Indicate whether the five number summary corresponds most likely to a distribution that is skewed to the left, skewed to the right, or symmetric. (100,110,115,160,220)

Short Answer

Expert verified
The distribution is likely skewed to the right.

Step by step solution

01

Understand what each number represents

The five number summary (100,110,115,160,220) stands for the following: min=100, Q1=110, median=115, Q3=160, max=220.
02

Examine the spacing between the numbers

The spacing between the minimum and Q1, Q1 and the median, the median and Q3, and Q3 and the maximum can shed light on the likely skewness of the data. If these distances are roughly equal, the distribution is likely symmetric. If the distances increase as we move up, the distribution is likely skewed right. If the distances decrease as we move up, the distribution is likely skewed left.
03

Determine the skewness

The distance from min to Q1 is 10, from Q1 to median is 5, from median to Q3 is 45, and from Q3 to max is 60. Therefore, the distances increase as we move up, suggesting the distribution is skewed to the right.

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