The mean and variance of 5 observations are 6 and 6.8 respectively. If a number equal to mean is included in the set of observations and the variance…

Question

The mean and variance of 5 observations are 6 and 6.8 respectively. If a number equal to mean is included in the set of observations and the variance of 6 observations is k, then the value of 34/k is equal to

MARKS Content Team · Accepted Answer

Correct answer: 6. Let 5 observations are x_1,x_2,x_3,x_4,x_5 x¯_old=6=(x_1+x_2+x_3+x_4+x_5)/5 ⇒x_1+x_2+x_3+x_4+x_5=30 ... 1 Var.old=(x12+x22+....x52)/5-x¯old^2=6.8 =x12+x22+....x52=214 ... 2 An observation 6 is included x¯_new=(x_1+x_( )+x_3+x_4+x_5+6)/6=6 x12+x22+x32....x52+6^2=214+36=250 Var.new=250/6-6^2=34/6

The mean and variance of $5$ observations are $6$ and $6.8$ respectively. If a number equal to mean is included in the set of observations and the variance of $6$ observations is $k$ , then the value of $\frac{34}{k}$ is equal to

Solution

More Statistics Questions

The mean and variance of 5 observations are 6 and 6.8 respectively. If a number equal to mean is included in the set of observations and the variance of 6 observations is k, then the value of 34k is equal to

Solution

More Statistics Questions

The mean and variance of $5$ observations are $6$ and $6.8$ respectively. If a number equal to mean is included in the set of observations and the variance of $6$ observations is $k$ , then the value of $\frac{34}{k}$ is equal to