Section 3.4: “Measures of Position and Outliers” Calculate and interpret z-scores Interpret percentiles and quartiles Interpret interquartile range Interpret.

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Section 3.4: “Measures of Position and Outliers” Calculate and interpret z-scores Interpret percentiles and quartiles Interpret interquartile range Interpret boxplots – Note: We will not worry about calculating percentiles nor quartiles (besides median)

Suppose men have a mean height of 70 inches (sd=3). Women have a mean height of 63 inches (sd=2). Relative to people their own gender, who is taller a 73 inch tall man or a 67 inch woman? A.The man B.The woman C.They are equal

Suppose the mean amount of luggage per a airline passenger is 34 pounds (s=10). What is the z-score for a passenger with 64 pounds of luggage? A.3 B.3.4 C.6.4 D.30

Suppose the mean amount of luggage per a airline passenger is 34 pounds (s=10). How many standard deviations from the mean is a passenger with 64 pounds of luggage? A.3 B.3.4 C.6.4 D.30

Suppose the mean rainfall for Arcata is 43 inches (sd=4). Calculate the z-score for a year with 30 inches of rain. A.-13 B C.7.5 D.13

If you exam score is at the 78 th percentile then: A.You did better than 22% of the test takers. B.You did better than 78% of the test takers. C.You did worse than 78% of the test takers. D.You scored a 78% on the exam.

The 50 th percentile can also be called the: A.Mean and 1 st quartile B.Mean and 2 nd quartile C.Median and 2 nd quartile D.Median and 3 rd quartile

The 75 th percentile can also be called the: A.1 st quartile B.2 nd quartile C.3 rd quartile D.4 th quartile

IQR is an abbreviation for… A.Intelligence Quotient Ratio B.Interrupted Question Request C.Integrated Quality Ratio D.Interquartile Range

What percent of the data lies within the IQR? A.25% B.50% C.75% D.80%

Boxplots show Boxes defined by 25 th & 75 th percentiles (half of data lies within) Middle line is 50 th percentile “Fences” or “Whiskers” stretch no further than1.5 IQR from box Any point beyond reach of whiskers is plotted individually Excellent tool for visual comparison of different groups of quantitative data. “Outlier” is a subjective term – much more complicated than just saying it lies outside of whiskers.

What is the interquartile range for El Nino rain? A) 10 B) 12.5 C) 17 D) 22.5