1
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four numbers 3 + 2x, 7 + 2y, x + y and x $$-$$ y is ______________.
2
JEE Main 2021 (Online) 25th July Morning Shift
Numerical
+4
-1
Consider the following frequency distribution :

Class : 10-20 20-30 30-40 40-50 50-60
Frequency : $$\alpha$$ 110 54 30 $$\beta$$

If the sum of all frequencies is 584 and median is 45, then | $$\alpha$$ $$-$$ $$\beta$$ | is equal to _______________.
3
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Consider the following frequency distribution :

Class : 0-6 6-12 12-18 18-24 24-30
Frequency : $$a$$ $$b$$ 12 9 5

If mean = $${{309} \over {22}}$$ and median = 14, then the value (a $$-$$ b)2 is equal to _____________.
4
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly appointed teacher is _________.