Question

In which of these cases should mode be used?

When the data is represented using interval scale

When the data is qualitative and we talk about the most frequent category

When the data is represented using ratio scale

When the data has extreme values

Answer 1

In which of these cases should mode be used?

Answer :-  When the data is qualitative and we talk about the most frequent category.

We write the summary of when to use the mode, median and mean using following table

Sr. No.	Type of variable	Best measure of central tendancy
1	Nominal	Mode
2	Ordinal	Median
3	Interval/Ratio (not skewed)	Mean
4	Interval/Ratio (skewed)	Median

Using another options in above question we write it's best measure of central tendancies are as below

1) When the data is represented using interval scale

Answer :- We used the mean if given data is not skewed.

and we used the median if given data is skewed.

3) When the data is represented using ratio scale

Answer :- We used the mean if given data is not skewed.

and we used the median if given data is skewed.

4) When the data has extreme values

Answer :- If the data has extreme values then median is used.

If the data being analyzed is qualitative, then the only measure of central tendency that can be reported is the mode. However, if the data is quantitative in nature (ordinal or interval/ratio) then the mode, median, or mean can be used to describe the data.

Summary :-

In which of these cases should mode be used?

Answer :-  When the data is qualitative and we talk about the most frequent category.