The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On respectively, it was found that an observation by...

If the mean and variance of the data 65,68,58,44, 48, 45, 60, α,β,60 where α>β are 56 and 66.2 respectively, then $\alpha^2+\beta^2$ is equal to

Let M denote the median of the following frequency distribution. Then 20 M is equal to :

Let $a_1, a_2, \ldots . . a_{10}$ be 10 observations such that $\sum_{\mathrm{k}=1}^{10} \mathrm{a}_{\mathrm{k}}=50$ and $\sum_{\forall \mathrm{k}<\mathrm{j}} \mathrm{a}_{\mathrm{k}} \cdot \mathrm{a}_{\mathrm{j}}=1100$. Then the standard deviation of...

The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If...

Let ${x_1},{x_2}, \ldots .,{x_{10}}$ be ten observations such that $...

Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges...

For a statistical data ${{\rm{x}}_1},{{\rm{x}}_2}, \ldots ,{{\rm{x}}_{10}}$ of 10 values, a student obtained the mean as 5.5 and $\sum\limits_{i = 1}^{10} {x_i^2} = 371$. He...

Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal width. Let the median of this...