The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4; then then absolute value of the difference of the other two observations, is

The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4; then then absolute value of the difference of the other two observations, is

1 Answer

127 votes

mean = 4, ^{2} = 5.2, n = 5,. x_{1} =3 x_{2} = 4 = x_{3}

x_{4} + x_{5} =9 ….(i)

= ^{2}

⇒ = 106

….(ii)

Using (i) and (ii) (x_{4} – x_{5})^{2} = 49

|x_{4} – x_{5}| = 7

127 votes

127