What are the uses of Mean Mode and Median?

Answer 1

The median would be used in preference to the arithmetic mean whenever a distribution is significantly skewed or data is difficult or expensive to measure. For example, salaries of employees, turnover of a large set of companies, time to destruction in tests of components.

The mode would be used in preference to the median as the most useful measure of location when the 'most common' or the 'most popular' item is required. For example number of customers in a queue, number of defects in a sample, sales of shirts by neck sizes.

The arithmetic mean would be used in preference to any other average in symmetric distributions or where further statistical calculations or analysis might be required. For example, number of items produced per day on a large assembly line, number of orders received per month for a firm.