IGNOU BCOC 134 2025 - What is weighted average? Under what conditions weighted average is pr

Question

What is weighted average? Under what conditions weighted average is preferable to a simple average?

21 Feb 2025

Answer :

Word Count : 302

A weighted average is a calculation that adjusts the average of a set of values based on their respective importance or frequency. Unlike a simple average, which treats all values equally, a weighted average assigns different weights to each value, reflecting its significance. The formula for calculating a weighted average is:

Weighted Average=∑(wi×xi)∑wi\text{Weighted Average} = \frac{\sum (w_i \times x_i)}{\sum w_i}

Where wiw_i represents the weight of the ii-th value, and xix_i is the value itself. The sum of the products of each value and its corresponding weight is then divided by the sum of the weights.

Weighted averages are particularly useful when certain data points in a

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