Math Problem Solver

For some data x1, x2, x3, ... xn with respective frequencies f1, f2, f3, ... , fn, the value of

∑ fi

(xi − x̅)

n

1

is equal to [BOARD 2024]

a) nx̅ b) 1 c) ∑ fi d) 0

2. The middle most observation of every data arranged in order is called

[BOARD 2024]

a) mean b) median c) mode d) deviation

3. If the value of each observation in a data is increased by 2, then median of the new

data [BOARD 2024]

a) Increases by 2 c) increases by 2n

b) Remains same d) decreases by 2

4. If the value of each observation of a statistical data is increased by 3, then mean of

the data [BOARD 2023]

a) Remains unchanged c) increase by 3

b) Increase by 6 d) increase by 3n

5. After an examination, a teacher wants to know the marks obtained by maximum

number of the students in her class. She requires to calculate _____ of marks.

[BOARD 2024]

a) mean b) median c) mode d) range

6. The mean of 5 observations is 15. If the mean of first three observations is 14 and

that of the last three observations is 17, then the third observation is

a) 20 b) 19 c) 18 d) 17

7. If the mean five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the value of x is

[BOARD 2024]

a) 4 b) 7 c) 11 d) 6

8. For the data 2, 9, x + 6, 2x + 3, 5, 10, 5 if the mean is 7, then the value of x is

[BOARD 2024]

a) 9 b) 6 c) 5 d) 3