1

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let the observations x

equations, $$\sum\limits_{i = 1}^{10} {\left( {{x_1} - 5} \right)} $$ = 10 and $$\sum\limits_{i = 1}^{10} {{{\left( {{x_1} - 5} \right)}^2}} $$ = 40.

If $$\mu $$ and $$\lambda $$ are the mean and the variance of the

observations, x

the ordered pair ($$\mu $$, $$\lambda $$) is equal to :

_{i}(1 $$ \le $$ i $$ \le $$ 10) satisfy theequations, $$\sum\limits_{i = 1}^{10} {\left( {{x_1} - 5} \right)} $$ = 10 and $$\sum\limits_{i = 1}^{10} {{{\left( {{x_1} - 5} \right)}^2}} $$ = 40.

If $$\mu $$ and $$\lambda $$ are the mean and the variance of the

observations, x

_{1}– 3, x_{2}– 3, ...., x_{10}– 3, thenthe ordered pair ($$\mu $$, $$\lambda $$) is equal to :

2

JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

The mean and variance of 20 observations are
found to be 10 and 4, respectively. On
rechecking, it was found that an observation 9
was incorrect and the correct observation was
11. Then the correct variance is

3

JEE Main 2020 (Online) 8th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

The mean and the standard deviation (s.d.) of
10 observations are 20 and 2 resepectively.
Each of these 10 observations is multiplied by
p and then reduced by q, where p $$ \ne $$ 0 and
q $$ \ne $$ 0. If the new mean and new s.d. become
half of their original values, then q is equal to

4

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If the data x

_{1}, x_{2},......., x_{10}is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2,000 ; then the standard deviation of this data is :Questions Asked from Statistics (MCQ (Single Correct Answer))

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