Stat_Chapter 3 Key Words

5 middle median third q3 365 median above the actual

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Unformatted text preview: ; Max = 66; First Quartile Q1, = 23 median below the actual data median; Second Q2, = 30.5 middle, median; Third Q3 = 36.5 median above the actual data median, So interval distance between min, three quartiles and max, is 18 (or 23 is 1st median -5 min value) , 7.5 (30.5 is 2nd median – 23 is 1st median), 6 (36.5 is 3rd median – 2nd median 30.5) 29.5 (66 is max – 36.5 3rd median) Greatest variation is in the fourth quarter. Outliers – observations that fall well outside the overall pattern of the data set (extremely far from the mean) Lower and Upper Limits: use of these and interquartile ranges to identify potential outliers. Lower limit=Q1-1.5*IQR; Upper limit=Q3+1.5*IQR Outliers Example: Q 1 = 23 Q3 = 36.5 IQR = 13.5 Lower Limit = 2.75 hours or Lower Limit = 23-1.5(13.5) = 2.75 hours Upper Limit = 56.75 hours or Upper Limit = 36.5+1.5(13.5) = 56.75 hours 5 Interpretation: Weekly viewing time of 66 falls outside the overall pattern of the other 19 viewing times (original n = 20). Boxplot – also called a box and whisker diagram is based on the fiv...
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