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Chapter 2: Problem 85

Indicate whether the five number summary corresponds most likely to a distribution that is skewed to the left, skewed to the right, or symmetric. (0,15,22,24,27)

Short Answer

Expert verified
The given data set (0,15,22,24,27), when described by a five-number summary, suggests a distribution that is skewed to the right.

Step by step solution

01

Understand the five-number summary

The numbers in the five-number summary are (0, 15, 22, 24, 27). Here, minimum value is 0, Q1 (first quartile) is 15, the median is 22, Q3 (third quartile) is 24, and the maximum value is 27.
02

Compare the distances

Calculate the distances from the median to Q1 and Q3 respectively. Here, Q1 to Median distance: 22-15 = 7 and Median to Q3 distance: 24-22 = 2.
03

Determine the skewness

If the distance from Q1 to the Median is larger than the distance from the Median to Q3, it means the data is skewed to the right. Since, here distance from Q1 to Median (7) is larger than the distance from Median to Q3 (2), the distribution is right-skewed.

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Most popular questions from this chapter

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