Question

WILSM we sample, what percentagehad starting salaries of lessthan 25,000 3. For the Data sets in the test scores example, find the following a) The IQR, compare the two interquartile ranges. b). Any Outliers in either set Minimum Q1 Median Q3 Maximum 74.5 Day Night 32 25.5 56 78 82.5 89 99 98 8

Answer 1

test 32ozes Here Consider the datasets in the example. minimum, Q1, median (Qc), Qg and maximum of test seoses to day and night dlataseh corresponding to given, Then are Qg-Qs 1 a) Interquantiple sange (IQR) ... IQR day Qg-Q, 82.5 - 56 = 26.5 IQRnight = 89-78 IQR describes the middle 50% of values when ordered fom lowent to highest. Here the middle 50% of test score valueest CIOR) day dataret than night dataset. high in YS b) An outleer in a dostalbution is a number that more than 1.5 times the length of the box away from either the lower of the lower or upper quauttles. Specifically if a number is less than Os greater than Q3 + 1.51QR, then it is an outfiel 0,-1,5TQR

16.25 561.5% 26.15. Day Here Q,-1.5 IQR Q3 + 1.5 IQR 82.5+1.5 X 26.5 -122.25 16.25 o There is less than no number greater the day day dataset of test scores. than 122.25 Yo So then no ocelliers Night. TO % 61.5 QI 1.5 IQR 265 -1.5x11 89 +1.50 105.5 Q3 +1.5 LQR = There are numbers night dataset of greater than 98. which is less than 61.5 in the Because minimum = 25.5. But no testscorers number maximum 105.5 is poesent. Because 8. Outliers are present for night dataset of test scores