Mean of discrete series can also be named as _______________.Select one:a.geometric averageb.harmonic averagec.weighted averaged.none of these

Break Down the Problem

1. Identify the terms: We need to understand the definitions of geometric average, harmonic average, weighted average, and mean of a discrete series.
2. Determine which term is synonymous with the mean of a discrete series.

Relevant Concepts

• Mean of Discrete Series: This is calculated by summing all values and dividing by the number of values.
• Geometric Average: The nth root of the product of n numbers.
• Harmonic Average: The reciprocal of the average of the reciprocals of given numbers.
• Weighted Average: An average where each value contributes differently based on a predetermined weight.

Analysis and Detail

• The mean of a discrete series is often used in statistics to describe the central tendency of data.
• The weighted average takes into account the different levels of importance of each value in the dataset, rather than treating all values equally, similar to how the mean of a discrete series operates when it factors in frequency or weight.

Verify and Summarize

Given the nature of the options provided:

• The geometric average and harmonic average do not reflect the simple arithmetic nature of the mean.
• The term "weighted average" describes an average where some values contribute more than others, aligning it closely with the idea of a mean in data sets that include frequencies.

Final Answer

weighted average