Question

What are the most common measures of variability? What do they tell you about a frequency distribution?

Answer 1

There are 4 measure of variability such as

1.Range

2.Inner Quartile range

3.Variance

4. Standard deviation

What do they tell about frequency distribution

Ans:

1.Range =The range is the most obvious measure of dispersion and is the difference between the lowest and highest values in a dataset or frequency distribution.

2.Inner Quartile Range=The inter-quartile range is a measure that indicates the extent to which the central 50% of values within the dataset are dispersed. It is based upon, and related to, the median.

3. Variance=Variability can also be defined in terms of how close the scores in the distribution are to the middle of the distribution.

4.Standard deviation =The standard deviation is simply the square root of the variance.The standard deviation is a measure that summarises the amount by which every value within a distribution varies from the mean.