In a survey,10people gave the following ratings for a local politician (on a scale...







In a survey,








10








people gave the following ratings for a local politician (on a scale of








0








to











100








).















40








,








41








,








43








,








45








,








47








,








48








,








50








,








50








,








51








,








54














Complete the parts below to identify any outliers.
















































































































(a)


Let








Q


1








be the lower quartile and








Q


3








be the upper quartile of the data set. Find








Q


1








and








Q


3








for the data set.
















































=


Q


1










































=


Q


3
















































































(b)


Find the interquartile range (IQR) of the data set.





























































































(c)


Calculate a lower boundary using











Q


1


·


1.5








IQR. Calculate an upper boundary using








+


Q


3


·


1.5








IQR.(Note that








·


1.5








IQR means








1.5








times the IQR.)










































Lower boundary:
























Upper boundary:






















































































Feb 02, 2023
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