chapter 1

Chapter 1: Overview and Descriptive Statistics39.16.475a. Σx l= 16. 475 so x = = 1. 029716~ (1.007 + 1.011)x =1.0092=b. 1.394 can be decreased until it reaches 1.011(the largest of the 2 middle values) – i.e. by1.394 – 1.011 = .383, If it is decreased by more than .383, the median will change.40.~ x = 60. 8x 59. 3083xtr( 25)=tr( 10)=x = 58.5458.3475All four measures of center have about the same value.41.710=a. . 70b. x = . 70 = proportion of successess25 = .c. 80so s = (0.80)(25) = 20total of 20 successes20 – 7 = 13 of the new cars would have to be successes42.ΣyΣ(x + c)Σxncn n n ny~ = the median of (1 + c , x2+ c ,..., x + c ) =x , x ,..., xn ) + c = x~+ ci iia. y = = = + = x + c(1 2xnmedian ofΣyΣ(x ⋅c)cΣxi iib. y = = = = cxn n ny~ = cx , cx ,..., cx ) = c ⋅median(1 2 n(2x1 , x ,..., xn) =c~x(57 + 79)43. median = = 68. 0 , 20% trimmed mean = 66.2, 30% trimmed mean = 67.5.222