# Let the observations

Question:

Let the observations $\mathrm{x}_{\mathrm{i}}(1 \leq \mathrm{i} \leq 10)$ satisfy the

equations, $\sum_{i=1}^{10}\left(x_{i}-5\right)=10$ and $\sum_{i=1}^{10}\left(x_{i}-5\right)^{2}=40$

If $\mu$ and $\lambda$ are the mean and the variance of the observations, $x_{1}-3, x_{2}-3, \ldots ., x_{10}-3$, then the ordered pair $(\mu, \lambda)$ is equal to :

1. $(6,6)$

2. $(3,6)$

3. $(6,3)$

4. $(3,3)$

Correct Option: , 4

Solution: