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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): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.
Reason (R): Cumulative frequencies are calculated by adding the frequencies.
  • 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 cumulative frequency will be calculated by adding each frequency from a frequency distribution table to its predecessors. The final value will always be equal to the total for all observations since all frequencies have already been added to the previous total.
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Most Upvoted Answer
Directions : In the following questions, a statement of Assertion (A)...
Assertion (A): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.

Reason (R): Cumulative frequencies are calculated by adding the frequencies.

The correct answer is option 'B', which means both the assertion and reason are true, but the reason is not the correct explanation of the assertion.

Explanation:

In order to understand why option 'B' is the correct answer, let's break down the assertion and reason separately.

Assertion (A): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.

- The assertion states that when calculating the arithmetic mean, if the cumulative frequencies are given, we need to find the individual frequencies for the given series or variables.

- This is true because the arithmetic mean is calculated by summing up all the values in the series and dividing it by the total number of values. In order to accurately calculate the mean, we need the individual frequencies.

Reason (R): Cumulative frequencies are calculated by adding the frequencies.

- The reason states that cumulative frequencies are calculated by adding the frequencies.

- This is also true because cumulative frequencies are obtained by adding up the frequencies of all the values up to a certain point. For example, if the frequency of a value is 5, then the cumulative frequency up to that value will be the sum of the frequencies of all the values before it.

Explanation of the correct answer:

Option 'B' is the correct answer because both the assertion and reason are true. However, the reason does not provide a direct explanation for the assertion. While cumulative frequencies are indeed calculated by adding the frequencies, it does not explain why we need to find the individual frequencies for calculating the arithmetic mean.

To calculate the arithmetic mean accurately, we need the individual frequencies to determine the weightage of each value in the series. The cumulative frequencies alone do not provide this information. Therefore, while the reason is true, it does not explain the assertion completely.

In conclusion, option 'B' is the correct answer because both the assertion and reason are true, but the reason does not provide a complete explanation for the assertion.
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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): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.Reason (R): Cumulative frequencies are calculated by adding the frequencies.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): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.Reason (R): Cumulative frequencies are calculated by adding the frequencies.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): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.Reason (R): Cumulative frequencies are calculated by adding the frequencies.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): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.Reason (R): Cumulative frequencies are calculated by adding the frequencies.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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