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Direction: 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 the Assertion (A).
- b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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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Direction: In the following questions, a statement of Assertion (A) i...
The arithmetic mean of the following observation 4, 8, 12, 16, is 10. 3. Cumulative frequency is needed while finding the median of the distribution. In case of calculation of median after arranging the data in ascending or descending order, the cumulative frequencies are calculated.
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Direction: In the following questions, a statement of Assertion (A) i...
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: Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Explanation:
In statistics, the arithmetic mean is a measure of central tendency and is calculated by summing up all the values in a dataset and dividing the sum by the total number of values. However, when cumulative frequencies are given, we need to find the individual frequencies for each value in order to calculate the arithmetic mean accurately.
Assertion (A) is true because when cumulative frequencies are given, we need to find the frequencies for the individual values in the series or variables. This is because the cumulative frequency represents the total number of observations up to a certain point in the data. To calculate the mean, we need the individual frequencies for each value to accurately compute the sum.
Reason (R) is true because cumulative frequencies are indeed calculated by adding up the frequencies. Cumulative frequency is the running total of frequencies as you move through the dataset. It represents the sum of all the frequencies up to a certain point. For example, if the frequencies for a series are 2, 3, and 4, the cumulative frequencies would be 2, 5, and 9 respectively.
However, the reason provided does not correctly explain why we need to find the frequencies for the individual values when calculating the arithmetic mean. The reason simply states that cumulative frequencies are calculated by adding the frequencies, which is true but does not directly address the requirement of finding individual frequencies for calculating the mean.
In conclusion, both the assertion and reason are true, but the reason does not provide a correct explanation for the assertion. Therefore, option B is the correct answer.
Reason (R): Cumulative frequencies are calculated by adding the frequencies.
The correct answer is option B: Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Explanation:
In statistics, the arithmetic mean is a measure of central tendency and is calculated by summing up all the values in a dataset and dividing the sum by the total number of values. However, when cumulative frequencies are given, we need to find the individual frequencies for each value in order to calculate the arithmetic mean accurately.
Assertion (A) is true because when cumulative frequencies are given, we need to find the frequencies for the individual values in the series or variables. This is because the cumulative frequency represents the total number of observations up to a certain point in the data. To calculate the mean, we need the individual frequencies for each value to accurately compute the sum.
Reason (R) is true because cumulative frequencies are indeed calculated by adding up the frequencies. Cumulative frequency is the running total of frequencies as you move through the dataset. It represents the sum of all the frequencies up to a certain point. For example, if the frequencies for a series are 2, 3, and 4, the cumulative frequencies would be 2, 5, and 9 respectively.
However, the reason provided does not correctly explain why we need to find the frequencies for the individual values when calculating the arithmetic mean. The reason simply states that cumulative frequencies are calculated by adding the frequencies, which is true but does not directly address the requirement of finding individual frequencies for calculating the mean.
In conclusion, both the assertion and reason are true, but the reason does not provide a correct explanation for the assertion. Therefore, option B is the correct answer.
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Community Answer
Direction: In the following questions, a statement of Assertion (A) i...
Answer is wrong it should be D as in question assertion is about arithmetic mean which isn't calculated by cumulative frequency..
But the answer given is B which is wrong as it's explaining in terms of median not mean...
But the answer given is B which is wrong as it's explaining in terms of median not mean...
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Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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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Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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 Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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 Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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?.
Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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 Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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 Direction: 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 the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the 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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