Answer to Question #185694 in Statistics and Probability for kevin

Question

Two sets of data are given. Compute their Sd(variance difference)

X1

42 53 48 65 40 52  

X2

39 45 40 58 42 47

Answer 1

For X_1

Mean μ  = Σx_i/N

μ =42+53+48+65+40+52=300/6

=50

Standard deviation δ = sqrt δ²

. δ²= 64+9+4+225+100+4=406/6

. =67.67

δ= sqrt 67.67=8.23

Standard deviation =8.23

For X_2

Mean μ =(39+45+40+42+47+58)/6=45.2

δ² = 17.64+0.04+27.04+163.84+10.2

=222.04/6

=37.01

δ= sqrt 37.01

=6.08

Standard deviation is 6.08