1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
Let n be an odd natural number such that the variance of 1, 2, 3, 4, ......, n is 14. Then n is equal to _____________.
2
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 ______________.
3
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 _______________.
4
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 _____________.
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