3 Weighted averages are considered when a The (2024)

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3. Weighted averages are considered when(a) The data are not classified(b) The data are put in the form of grouped frequency distribution(c) All the observations are not of equal importance

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#### Solution By Steps***Step 1: Understanding the Concept of Weighted Averages***Weighted averages are used when not all data points contribute equally to the average. This is typically when some data points are more significant or occur more frequently than others.***Step 2: Analyzing Each Option***(a) **The data are not classified**: This does not necessarily imply that some data points are more important than others. It just means the data is not organized into categories or groups.(b) **The data are put in the form of grouped frequency distribution**: This suggests that some data points occur more frequently than others, which aligns with the concept of weighted averages where frequency or importance of data points is considered.(c) **All the observations are not of equal importance**: This directly states that some data points are more important than others, which is the fundamental requirement for using weighted averages.***Step 3: Selecting the Correct Option***Based on the analysis, option (c) directly addresses the condition necessary for using weighted averages, making it the correct choice.#### Final Answer(c) All the observations are not of equal importanceThis option is correct because weighted averages are used when not all data points are equally important, reflecting varying degrees of significance or frequency in the dataset.

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