Question

What are the characteristics of a good measure of central tendency?

Answer 1

Explanation:

1) it should be Well defined and rigid.

2) it should be easy to understand and calculate.

3) it should be based on all the observations of the data.

4) it should be suitable for further algebraic operations.

5) it should be a stable measure. it means that values of averages found for different samples of same size from the same population should be almost same.

6) it should not be unduly affected by a few very large or very small observations.

the following measures of central tendency which are widely used in data analysis :- 1) Mean 2) Median and other positional averages and 3) Mode

Answer 2

Three of the most frequent measures of central tendency are mean, mode, and median. The central point or value in a dataset or series can be determined using measures of central tendency. 

Characteristics of a good measure of central tendency :

• A good central tendency measure should be simple to calculate and comprehend.

• It should be unaffected by outliers (values at the extremes of a range).

• It should take into account all of the elements in the dataset.

• It should be clearly stated and adhered to.

• A decent measure of central tendency should be relevant to algebraic operations.

• It should be able to deliver the dataset's center value.