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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.
Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.
  • 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, but 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.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions : In the following questions, a statement of Assertion (A)...
The weighted mean is a type of mean that is calculated by multiplying the weight (or probability) associated with a particular event or outcome with its associated quantitative outcome and then summing all the products together. It is very useful when calculating a theoretically expected outcome where each outcome has a different probability of occurring, which is the key feature that distinguishes the weighted mean from the arithmetic mean.
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Most Upvoted Answer
Directions : In the following questions, a statement of Assertion (A)...
Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.

Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.

Explanation:
The assertion states that the combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items. The reason states that in weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.

Understanding Weighted Mean:
The weighted mean is a statistical measure that takes into account the weights assigned to different items in a series. In a weighted mean, each item is assigned a weight that represents its importance or contribution to the overall mean. The weight is usually represented as a fraction or a percentage.

Calculation of Weighted Mean:
To calculate the weighted mean, we multiply each item in the series by its corresponding weight, and then sum up these weighted values. Finally, we divide this sum by the total weight of all the items.

Explanation of Combined Mean:
The combined mean is used when we have multiple sets of data with different means and frequencies. To calculate the combined mean, we multiply the mean of each set by its respective frequency, and then sum up these products. Finally, we divide this sum by the total number of items.

Relation between Weighted Mean and Combined Mean:
The weighted mean is a specific case of the combined mean, where the weights assigned to each item in the series are equal to their respective frequencies. In other words, the weighted mean is the combined mean when all the frequencies are the same.

Conclusion:
Both the assertion and reason are true. The assertion correctly states the calculation of the combined mean, and the reason correctly explains the concept of weighted mean. However, the reason does not provide a direct explanation of the assertion, as the weighted mean is a specific case of the combined mean. Therefore, the correct answer is option 'B' - Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
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Community Answer
Directions : In the following questions, a statement of Assertion (A)...
Correct answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.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, but 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.Correct answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.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, but 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.Correct answer is option 'B'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.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, but 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.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.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, but 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.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.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, but 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.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
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