1

JEE Main 2020 (Online) 3rd September Morning Slot

MCQ (Single Correct Answer)

+4

-1

For the frequency distribution :

Variate (x) : x

Frequency (f) : f

where 0 < x

$$\sum\limits_{i = 1}^{15} {{f_i}} $$ > 0, the standard deviation cannot be :

Variate (x) : x

_{1}x_{2}x_{3}.... x_{15}Frequency (f) : f

_{1}f_{2}f_{3}...... f_{15}where 0 < x

_{1}< x_{2}< x_{3}< ... < x_{15}= 10 and$$\sum\limits_{i = 1}^{15} {{f_i}} $$ > 0, the standard deviation cannot be :

2

JEE Main 2020 (Online) 2nd September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let X = {x
$$ \in $$ N : 1
$$ \le $$ x
$$ \le $$ 17} and

Y = {ax + b: x $$ \in $$ X and a, b $$ \in $$ R, a > 0}. If mean

and variance of elements of Y are 17 and 216

respectively then a + b is equal to :

Y = {ax + b: x $$ \in $$ X and a, b $$ \in $$ R, a > 0}. If mean

and variance of elements of Y are 17 and 216

respectively then a + b is equal to :

3

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 :

4

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

Questions Asked from Statistics (MCQ (Single Correct Answer))

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