1
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 _______________.
2
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 _____________.
3
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 _________.
4
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remaining n numbers is 3. A new set is constructed by adding 1 into each of first 2n numbers, and subtracting 1 from each of the remaining n numbers. If the variance of the new set is k, then 9k is equal to __________.
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