Read the following statements - Assertion (A) and Reason (R) Choose one of the correct alternatives given below: Assertion (A). Weighted mean is greater than simple arithmetic mean when higher weights are given to the larger items and smaller weights are given to the smaller items in the series. Reason (R). Weighted mean is less than simple arithmetic mean when smaller weights are assigned to larger items and larger weights are given to the smaller items in the series. Alternatives : (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A). (c) Assertion (A) is true but Reason (R) is false. (d) Assertion (A) is false but Reason (R) is true.
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The assertion and the reason both are true.
- A weighted mean is indeed a similar concept to an average. Rather than each data point creating appropriate to the final mean, certain data points add greater "weight."
- The weighted mean reflects the arithmetic mean of whether all components are equal.
- All value in the data point is multiplied by the predefined weight well before the final computation is completed when computing a weighted average.
- A weighted average could be more accurate than a basic average, which assigns the same weight to all integers in a data collection.
- All numbers are regarded identically and given equal weight when calculating a simple average, also referred to as arithmetic mean.
- A weighted average, on the other extreme, provides weights that establish the relevance of each data point in advance. The most common use of a weighted average is to equalize the frequency of items in the dataset.
The answer is option (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
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