Question

3. Data on the mileage of 10 randomly selected cars is listed below. The values are ordered for convenience. 20 20 22 23 24 26 26 27 27 39 Find the two-number summary using your calculator. (Mean, Sample standard deviation) [4 pts.] a. (25.4, 5.4 b. Find the five-number summary. [5 pts.] Mcan-25 uxper-limita lbwer-limit-39 lower IAR-2a Are there any outliers based on 1.5 x IQR rule? [5 pts.] The upper limit:-一ND,no numbe、、 S40.5 The lower limit: NDno number is33 Justify your answer!

Answer 1

a)

frm above mean ; std deviation =(25.4 ; 5.46)

b)

minimum =20

first quartile Q1 =np th value =10*0.25 th value =2.5 th value ~ 22

second quartile Q2 =10*0.5 th value =5 th value =(24+26)/2 =25

third quartile Q3 =10*0.75 th value =7.5 th value =27

maximum=39

c)

upper limit =Q3+1.5*(Q3-Q1)=27+1.5*(27-22)=34.5 ; hence 39 is an upper outlier

lower limit -Q1-1.5*(Q3-Q1)=22-1.5*(27-22)=14.5 ;there is no lower outlier