List of top Mathematics Questions on Variance and Standard Deviation asked in MHT CET

A player tosses two coins. He wins ₹10 if 2 heads appear, ₹5 if one head appears, and ₹2 if no head appears. Then variance of winning amount is ______.

The standard deviation of the following distribution}

is

If both mean and variance of 50 observations $x_1, x_2, \ldots, x_{50}$ are equal to 16 and 256 respectively, then mean of $(x_1-5)^2, (x_2-5)^2, \ldots, (x_{50}-5)^2$ is

If the variance of the data $2, 4, 5, 6, 8, 17$ is $23.33$, then the variance of $4, 8, 10, 12, 16, 34$ will be

Given that the total of 16 values is 528 and the sum of the squares of deviation from 33 is 9158. The variance is

For the probability distribution given by following

the value of $\text{Var}(X) =$

For two data sets each of size 5, the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. The variance of the combined data set is

The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two are

If the variance of the numbers $2, 3, 11$ and $x$ is $\frac{49}{4}$, then the values of $x$ are

The variance of the following probability distribution is,

If 1 is added to first 10 natural numbers, then variance of the numbers so obtained is

For two data sets each of size 5, the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. The variance of the combined data set is

In a meeting 60\% of the members favour and 40\% oppose a certain proposal. A member is selected at random and we take $X = 0$ if he opposed and $X = 1$ if he is in favour, then $\text{Var}(X) =$

The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observations is