Question

Asked Apr 11, 2019

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d) Based on the Boxplot, is it reasonable to treat this sample as if it comes from an approx. normal population? Briefly explain.

5 Number Summary of Boxplot:

Min: 9

Q1: 10

Med/Q2: 11.5

Q3: 15

Max: 26

Step 1

From the given five number summary, the boxplot is,

Step 2

*The rule for determining the skewness from the Boxplot:*

- The data is right skewed if the median is closer to the 1
^{st}quartile than the 3^{rd}quartile or the upper whisker is longer than the lower whisker. - The data is left skewed if the median is closer to the 3
^{rd}quartile than the 1^{st}quartile or the lower whisker is longer than the upper whisker. - The data is approximately symmetric if the median is the middle point of 1
^{st}quartile and the 3^{rd}quartile or the length of the upper whisker and the lower whisker is approximately same.

Step 3

From the above boxplot, it can be said that the median is closer to the 1st quartile than the 3rd quartile and the upper whisker is longer than the lower whisker. There are two outliers in the data.

Therefore, the d...

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