Measures of Dispersion

Indication in a way that variance of y-variable is explained by x-variable is shown as

What is the mean deviation about the mean for the following data?

How Range of measure of dispersion is most affected by extreme values?

Which measure of dispersion is most affected by extreme values?

Write any two merits of range as a measure of dispersion.

If the varience of any data is $58.5$ then what will be the standard deviation of that data?

The standard deviation of a variable $x$ is 10. Then, the standard deviation of $50+5x$ is

The mean deviation of the data $3, 10, 10, 4, 7, 10, 5$ from the mean is

Consider the following statements :

1. The values of median and mode can be determined graphically

2. Mean, Median and Mode have the different unit

3. Range is the best measure of dispersion.

Which of these is/are correct?

$S.D.$ of data is $6$ when each observation is increased by $1$, then the $S.D.$ of new data is

If the standard deviation of $0,1,2, ...,9$ is $k$, then the standard deviation of $10,11,12, ... ,19$ is

The variance of first $n$ natural number is

Covariance $\left(x, y\right)$ between $x$ and $y$ if $\sum x=15, \sum y=40, \sum xy=110, n=5$ is

If the coefficient of variation is $45\%$ and the mean is $12$ then its standard derivation is

If the coefficient of variation and standard deviation are $60$ and $21$, respectively, then arithmetic mean of distribution is

The $7^{th}$ percentile is equal to

The scores of batsman in ten innings are : 

55, 34, 48, 38, 70, 44, 54, 46, 63, 42.

Find the mean deviation about median.

The mean of five numbers is $0$ and their variance is $2$ . If three of those numbers are $-1,1$ and $2,$ then the other two numbers are

Variance is independent of

If $\sum _{i=1}^9\left(x-5\right)=9$ and $\sum _{i=1}^9{\left(x_i-5\right)}^2=45$, then the standard deviation of the $9$ items $x_1, x_2,\dots .,x_9$ is