The means of 5 observations is 4.4 and variance is 8.24 . If three of the five observations are 1,2 and 6 , then the values of other two observations are

Step-by-step solution

Let the two observation be x and y aligned & 1+2+6+x+y=5 4.4=22 & x+y=13 aligned Also 1^2+2^2+6^2+x^2+y^2 5 -(4.4)^2=8.24 aligned & 41+x^2+y^2 5 =8.24+19.36=27.60 & x^2+y^2=138-41 & x^2+(13-x)^2=97 & x^2-13 x+36=0 & x=4,9 aligned y=9,4