MHT-CET

26. Statistics question bank (Mathematics)

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Q1.

The mean and variance of $7$ observations are $8$ and $16$ respectively. If the first five observations are $2, 4, 10, 12, 14$,then the absolute difference of the remaining two observations is

(A)

$1$

(B)

$2$

(C)

$3$

(D)

$4$

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Q2.

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

(A)

$\frac{13}{2}$

(B)

$\frac{5}{2}$

(C)

$\frac{11}{2}$

(D)

$\frac{15}{2}$

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