List of top Mathematics Questions on Statistics asked in AIEEE

For two data sets, each of size $5$, the variances are given to be $4$ and $5$ and the corresponding means are given to be $2$ and $4$, respectively. The variance of the combined data set is

Suppose a population $A$ has 100 observations $101, 102,..., 200 $ and another population $B$ has $ 100$ observations $151, 152, ..., 250.$ If $V_A$ and $V_B$ represent the variances of the two population respectively, then $\frac{V_{A}}{V_{B}}$ is :

If in a frequency distribution, the mean and median are $21 $ and $22$ respectively, then its mode is approximately