Statistics question

2024 · 30 Jan · Shift 2 · Q56

Statistics question

2024 · 30 Jan · Shift 2 · Q56

The variance $\sigma^2$ of the data

$x_i$	0	1	5	6	10	12	17
$f_i$	3	2	3	2	6	3	3

is $\underline{\hspace{2cm}}$ .

Numerical answer

More from Statistics

Let the mean and the variance of 6 observations $a, b, 68, 44, 48, 60$ be $55$ and $194$ , respectively. If $a > b$ , then $a + 3 b$ is2024 · MCQ
The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are 1, 3, 5, then the sum of cubes of the remaining two observations is :2023 · MCQ
Let $9 = x_{1} < x_{2} < \dots < x_{7}$ be in an A.P. with common difference d. If the standard deviation of $x_{1}, x_{2} ..., x_{7}$ is 4 and the mean is $\overset{x}{ˉ}$ , then $\overset{x}{ˉ} + x_{6}$ is equal to :2023 · MCQ
The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and $σ^{2}$ respectively. If the variance of all the 30 numbers in the two sets is 13 , then $σ^{2}$ …2023 · MCQ
If the mean and variance of the frequency distribution are 9 and 15.08 respectively, then the value of $α^{2} + β^{2} - α β$ is . Includes table2023 · Numerical
Let the mean and variance of 8 numbers $x, y, 10, 12, 6, 12, 4, 8$ be $9$ and $9.25$ respectively. If $x > y$ , then $3 x - 2 y$ is equal to .2023 · Numerical
Let the mean and variance of 12 observations be $\frac{9}{2}$ and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is $\frac{m}{n}$ , where…2023 · MCQ
If the mean of the frequency distribution is 28, then its variance is . Includes table2023 · Numerical