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If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM?
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If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4...
Understanding the Problem
To find the Arithmetic Mean (AM) of a variable with specified values and their frequencies, we can follow these steps:
Values and Frequencies
- Values: 1, 2, 3, 4, 5
- Frequencies: 1, 2, 3, 4, 5
This means:
- The value 1 occurs 1 time,
- The value 2 occurs 2 times,
- The value 3 occurs 3 times,
- The value 4 occurs 4 times,
- The value 5 occurs 5 times.
Calculating the Total Frequency
- Total Frequency (N) = 1 + 2 + 3 + 4 + 5 = 15
Finding the Weighted Sum
To calculate the AM, we first need to find the weighted sum of the values:
- Weighted Sum = (1*1) + (2*2) + (3*3) + (4*4) + (5*5)
- Weighted Sum = 1 + 4 + 9 + 16 + 25 = 55
Calculating the Arithmetic Mean (AM)
Now, we can find the AM using the formula:
- AM = Weighted Sum / Total Frequency
- AM = 55 / 15
After performing the division:
- AM ≈ 3.67
Conclusion
The Arithmetic Mean of the variable with values 1, 2, 3, 4, and 5, given their respective frequencies, is approximately 3.67. This value provides a central tendency of the distribution based on the given frequencies.
To find the Arithmetic Mean (AM) of a variable with specified values and their frequencies, we can follow these steps:
Values and Frequencies
- Values: 1, 2, 3, 4, 5
- Frequencies: 1, 2, 3, 4, 5
This means:
- The value 1 occurs 1 time,
- The value 2 occurs 2 times,
- The value 3 occurs 3 times,
- The value 4 occurs 4 times,
- The value 5 occurs 5 times.
Calculating the Total Frequency
- Total Frequency (N) = 1 + 2 + 3 + 4 + 5 = 15
Finding the Weighted Sum
To calculate the AM, we first need to find the weighted sum of the values:
- Weighted Sum = (1*1) + (2*2) + (3*3) + (4*4) + (5*5)
- Weighted Sum = 1 + 4 + 9 + 16 + 25 = 55
Calculating the Arithmetic Mean (AM)
Now, we can find the AM using the formula:
- AM = Weighted Sum / Total Frequency
- AM = 55 / 15
After performing the division:
- AM ≈ 3.67
Conclusion
The Arithmetic Mean of the variable with values 1, 2, 3, 4, and 5, given their respective frequencies, is approximately 3.67. This value provides a central tendency of the distribution based on the given frequencies.
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Question Description
If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM?.
If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a variable assumes the values 1,2,3,4,5 with frequencies as 1,2,3,4,5 then what is the AM?.
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