Simple Average and Weighted Average

Simple average and weighted average are two methods of calculating the average of a set of values. Both methods are commonly used in various fields, including finance, statistics, and science. However, there are some key differences between these two methods.

Simple Average

A simple average is calculated by adding up all the values in a set and dividing the total by the number of values. For example, if you have a set of numbers 2, 4, 6, and 8, the simple average would be:

(2 + 4 + 6 + 8) / 4 = 5

In simple average, each value is considered equally important, regardless of its magnitude or significance.

Weighted Average

A weighted average, on the other hand, assigns different weights or importance to each value in a set. This means that some values have a greater impact on the average than others. Weighted averages are commonly used when some values are more important than others or when some values occur more frequently than others.

For example, suppose you have a set of grades for a course where the final exam is worth 50% of the total grade, the midterm is worth 30%, and the homework assignments are worth 20%. To calculate the weighted average of the grades, you would multiply each grade by its corresponding weight, add up the products, and divide by the total weight.

Both

In this question, it is mentioned that each different value is considered only once. This means that each value has the same importance, and there are no weights assigned to any value. Therefore, only a simple average can be used to calculate the average of the given values.

None

Option 'D' is not the correct answer as it suggests that neither simple average nor weighted average can be used to calculate the average of the given values, which is incorrect. Simple average can be used to calculate the average of any set of values, regardless of their magnitude or frequency, as long as each value is considered equally important.

Simple average