The mean, median, or mode by itself is usually a sufficient measure to reveal the shape of the distribution of a data set.

is the simplest measure of dispersion to calculate

Range

What is the Range of these value 25,8,4,5,75,96,51

range is very satisfactory measure of dispersion

The greater the amount of variability in the sample, the larger the magnitudes (ignoring the signs) of the deviations.

is the most-used measure of dispersion.

In general, a Large value of the standard deviation for a data set indicates that the values of that data set are spread over a relatively smaller range around the mean.

A particular deviation is positive if the corresponding x value is greater than x bar and negative if the x value is less than x bar

The standard deviation of the widths (in cm) of a group of 25 leaves is 0.9 cm. What is the variance of their widths?

The heights of a group of 6 people are 150 cm, 1 55 cm, 160 cm, 165 cm, 170 cm, and 175 cm. Find the standard deviation of their heights.

Calculate the deviation in marks obtained by them.

Find the standard deviation of the following data (rounded off to two decimal places). 5,3,4,7

If the standard deviation of a, b and c is t, then what will be the standard deviation of a + 6, b+6 and c+ 6 ?

empirical rule applies only to a specific type of distribution called a bell - shaped distribution .

What is the variance of first five positive integers?

A committee has 6 members having weights (In kg) as 45, 50, 65, 72, 63, 35. Find the stander deviation

Chebyshev's theorem gives a lower bound for the area under a curve between two points that are on opposite sides of the mean and at the same distance from the mean.

Chebyshev'sTheorem : For any number 𝑘 Smaller than 1