chapter 1

Chapter 1: Overview and Descriptive Statistics67.∑x i⎛100⎜⎝⎛100⎜⎝1∴21=2= 163.2115215⎞163.2 −8.5−15.6⎟%trimmedmean == 10.70⎠13⎞163.2 −8.5−8.8−15.6−13.7⎟%trimmedmean == 10.60⎠11⎛ 1 ⎞ 1 ⎛ 2 ⎞ ⎛ 1 ⎞⎜ ⎟ = 100⎜⎟ = 10% trimmedmean⎝15⎠2 ⎝15⎠⎝10⎠12( 100) ⎜ ⎟ + ( 100)( 10.70) + ( 10.60) = 10. 6568.a.dc⇒2{ ∑(xi− c)}∑xdi−∑c = 0 ⇒∑=dc(xi∑d−c)2= −2∑( xx −nc= 0 ⇒ nc =ii−c)= 0 ⇒∑∑( xx ⇒ c =ii∑−c)= 0nxi= x.∑∑2b. ( x x) issmallerthan ( − µ )− .ix i269.a.b.y =s2y=a=2∑n∑∑9y =5yi( ax + b)22( y − y) ( ax + b − ( ax + b)) ( ax − ax)n −1( x − x)i=in −1ο οx=C,y=F( 87.3)2s y= s y=∑2n=⎛ 9⎞⎜ ⎟⎝ 5⎠i= a∑s.2 2xa=+ 32 = 189.142i∑xi+ b= ax + b.nn −1=∑2( 1.04) = 3.5044 = 1. 872in −1235