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Please, calculate the Variance, Standard Deviation and Coefficient of Variation:

ID: 3179671 • Letter: P

Question

Please, calculate the Variance, Standard Deviation and Coefficient of Variation:

Chabusi Management Quality

Probability

Projected Return

Poor

0.20

0.1

Average

0.40

0.2

Outstanding

0.40

0.3

                                                                       

                                                                                                      Variance                           =

                                                                                          Standard Deviation           =

                                                                                        Coefficient of Variation   =

Chabusi Management Quality

Probability

Projected Return

Poor

0.20

0.1

Average

0.40

0.2

Outstanding

0.40

0.3

Explanation / Answer

mean return= 0.1*0.20+0.2*0.40+0.3*0.40 = 0.02+0.08+0.08 = 0.18

varaince of return . = (0.1-0.18)2(0.20)+(0.2-0.18)2(0.40)+(0.2-0.18)2(0.40) = 0.0016

standard deviation= 0.04

Coefficient of Variation   = standard deviation/mean = 0.04/0.18 = 4/18 = 2/9 = 0.22