Question 1: Palette 1/6

BITSAT 2023 MCQ

The mean and variance of the data $4,5,6,6,7,8, x, y$, where $x< y$ are 6 and $\frac{9}{4}$, respectively. Then, $x^2-2 y$ is equal to

A

8

B

32

C

0

D

4

Question 2: Palette 2/6

BITSAT 2022 MCQ

The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two are

A

2 and 9

B

3 and 8

C

4 and 7

D

5 and 6

Question 3: Palette 3/6

BITSAT 2021 MCQ

For a random variable X, E(X) = 3 and E(X²) = 11. The variable of X is :

A

8

B

5

C

2

D

1

Question 4: Palette 4/6

BITSAT 2021 MCQ

The sum of 10 items is 12 and the sum of their squares is 18, then the standard deviation will be

A

$-$3/5

B

6/5

C

4/5

D

3/5

Question 5: Palette 5/6

BITSAT 2021 MCQ

The runs of two players for 10 innings each are as follows

The more consistent player is

A

player A

B

player B

C

both player A and B

D

None of these

Question 6: Palette 6/6

BITSAT 2020 MCQ

The mean of five observation is 5 and their variance is 9.20. If three of the given five observation are 1, 3 and 8, then a ratio of other two observations is

A

4 : 9

B

6 : 7

C

5 : 8

D

10 : 3