Given below are summary statistics for the \"Length of the schoolyear\" for 20 r

Question

Given below are summary statistics for the "Length of the schoolyear" for 20 randomly selected countries. Use this data toanswer #7, #8:


Count             20
Mean              200 days          
StdDev                      15.47 days
Median           195 days  
Min                180 days  
Q1                  190 days          
Q3                  208 days
IQR                18 days
Max                243 days  



(7) Would you describe this distribution as symmetric,right-skewed, or left-skewed? Explain your reasoning.


(8) An outlier is defined to be a data value which is less than thevalue or greater than the value , where theInterquartile Range . Show your work to determine if thereare any outliers in this data set. If there are outliers, findthem.   

Explanation / Answer

Since the mean is greater than the median, I would consider itslightly skewed right 243 is an outlier Q3 + 1.5 IQR = 208 + 1.5(18) = 235   and 243 is greaterthan that.

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