Question

Why Mean, Median and Mode are called centrality measurements?

Provide an example in which the Median is a better indicator than the Mean

Why Range, Mean Average Deviation, Variance and Standard Deviation are called Dispersion Measurements

Answer 1

Ans.

1. Measure of CentralTendency:-

A measure of central tendency is a summary statistic that represents the center point or typical value of a dataset. In statistics, the three most common measures of central tendency are the mean, median, and mode. Each of these measures calculates the location of the central point using a different method.

Mean, Median and Mode are called centrality measurements

because they have an aim to identify the mid point of the data set.

2. Median is the better than the mean where the data set is skewed.

3. Dispersion:-

Dispersion in statistics is a way of describing how spread out a set of data is. When a data set has a large value, the values in the set are widely scattered; when it is small the items in the set are tightly clustered. Very basically, this set of data has a small value:
1, 2, 2, 3, 3, 4
…and this set has a wider one:
0, 1, 20, 30, 40, 100

Range, Mean average deviation, Variance and standard deviation measures spread of a data set. Hence these are called measures of dispersion.