1

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 __________.

Your input ____

2

JEE Main 2021 (Online) 16th March Evening Shift

Numerical

+4

-1

Consider the statistics of two sets of observations as follows :

If the variance of the combined set of these two observations is $${{17} \over 9}$$, then the value of n is equal to ___________.

Size | Mean | Variance | |
---|---|---|---|

Observation I | 10 | 2 | 2 |

Observation II | n | 3 | 1 |

If the variance of the combined set of these two observations is $${{17} \over 9}$$, then the value of n is equal to ___________.

Your input ____

3

JEE Main 2021 (Online) 26th February Evening Shift

Numerical

+4

-1

Let X

that $$\sum\limits_{i = 1}^{18} {({X_i} - } \alpha ) = 36$$ and $$\sum\limits_{i = 1}^{18} {({X_i} - } \beta {)^2} = 90$$, where $$\alpha$$ and $$\beta$$ are distinct real numbers. If the standard deviation of these observations is 1, then the value of | $$\alpha$$ $$-$$ $$\beta$$ | is ____________.

_{1}, X_{2}, ......., X_{18}be eighteen observations suchthat $$\sum\limits_{i = 1}^{18} {({X_i} - } \alpha ) = 36$$ and $$\sum\limits_{i = 1}^{18} {({X_i} - } \beta {)^2} = 90$$, where $$\alpha$$ and $$\beta$$ are distinct real numbers. If the standard deviation of these observations is 1, then the value of | $$\alpha$$ $$-$$ $$\beta$$ | is ____________.

Your input ____

4

JEE Main 2021 (Online) 24th February Evening Shift

Numerical

+4

-1

If the variance of 10 natural numbers 1, 1, 1, ....., 1, k is less than 10, then the maximum possible value of k is ________.

Your input ____

Questions Asked from Statistics (Numerical)

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