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Mean is of ———— types.
- a)3
- b)4
- c)8
- d)5
Correct answer is option 'A'. Can you explain this answer?
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Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you ex...
Types of Mean
Mean is a statistical measure of central tendency. It is calculated by adding all the values in a given data set and dividing the sum by the total number of values. There are different types of means, which are explained below:
1. Arithmetic Mean:
Arithmetic mean is the most commonly used mean. It is calculated by adding all the values in a given data set and dividing the sum by the total number of values.
Example: Calculate the arithmetic mean of the following numbers: 2, 4, 6, 8, 10.
Solution:
The sum of the numbers is 2 + 4 + 6 + 8 + 10 = 30.
The total number of values is 5.
Arithmetic mean = sum of numbers/total number of values = 30/5 = 6.
Therefore, the arithmetic mean is 6.
2. Geometric Mean:
Geometric mean is a type of mean that is used to calculate the average of two or more numbers that are multiplied together.
Example: Calculate the geometric mean of the following numbers: 2, 4, 8.
Solution:
The product of the numbers is 2 × 4 × 8 = 64.
The total number of values is 3.
Geometric mean = nth root of the product of numbers = ∛64 = 4.
Therefore, the geometric mean is 4.
3. Harmonic Mean:
Harmonic mean is a type of mean that is used to calculate the average of two or more numbers that are reciprocals of each other.
Example: Calculate the harmonic mean of the following numbers: 2, 4, 8.
Solution:
The reciprocals of the numbers are 1/2, 1/4, and 1/8.
The sum of the reciprocals is 1/2 + 1/4 + 1/8 = 7/8.
The total number of values is 3.
Harmonic mean = total number of values/sum of reciprocals = 3/(7/8) = 24/7.
Therefore, the harmonic mean is 24/7.
4. Weighted Mean:
Weighted mean is a type of mean that is used when the values in a data set have different weights or importance.
Example: Calculate the weighted mean of the following numbers, where the weights are given in parentheses:
(2, 3), (4, 2), (6, 1), (8, 4), and (10, 2).
Solution:
The weighted sum of the numbers is (2 × 3) + (4 × 2) + (6 × 1) + (8 × 4) + (10 × 2) = 76.
The total weight is 12.
Weighted mean = weighted sum/total weight = 76/12 = 6.33.
Therefore, the weighted mean is 6.33.
Conclusion:
Therefore, the correct option is (a) 3, as there are no types of means mentioned in the question.
Mean is a statistical measure of central tendency. It is calculated by adding all the values in a given data set and dividing the sum by the total number of values. There are different types of means, which are explained below:
1. Arithmetic Mean:
Arithmetic mean is the most commonly used mean. It is calculated by adding all the values in a given data set and dividing the sum by the total number of values.
Example: Calculate the arithmetic mean of the following numbers: 2, 4, 6, 8, 10.
Solution:
The sum of the numbers is 2 + 4 + 6 + 8 + 10 = 30.
The total number of values is 5.
Arithmetic mean = sum of numbers/total number of values = 30/5 = 6.
Therefore, the arithmetic mean is 6.
2. Geometric Mean:
Geometric mean is a type of mean that is used to calculate the average of two or more numbers that are multiplied together.
Example: Calculate the geometric mean of the following numbers: 2, 4, 8.
Solution:
The product of the numbers is 2 × 4 × 8 = 64.
The total number of values is 3.
Geometric mean = nth root of the product of numbers = ∛64 = 4.
Therefore, the geometric mean is 4.
3. Harmonic Mean:
Harmonic mean is a type of mean that is used to calculate the average of two or more numbers that are reciprocals of each other.
Example: Calculate the harmonic mean of the following numbers: 2, 4, 8.
Solution:
The reciprocals of the numbers are 1/2, 1/4, and 1/8.
The sum of the reciprocals is 1/2 + 1/4 + 1/8 = 7/8.
The total number of values is 3.
Harmonic mean = total number of values/sum of reciprocals = 3/(7/8) = 24/7.
Therefore, the harmonic mean is 24/7.
4. Weighted Mean:
Weighted mean is a type of mean that is used when the values in a data set have different weights or importance.
Example: Calculate the weighted mean of the following numbers, where the weights are given in parentheses:
(2, 3), (4, 2), (6, 1), (8, 4), and (10, 2).
Solution:
The weighted sum of the numbers is (2 × 3) + (4 × 2) + (6 × 1) + (8 × 4) + (10 × 2) = 76.
The total weight is 12.
Weighted mean = weighted sum/total weight = 76/12 = 6.33.
Therefore, the weighted mean is 6.33.
Conclusion:
Therefore, the correct option is (a) 3, as there are no types of means mentioned in the question.
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Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you ex...
There are three types of mean i.e AM, HM, GM
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Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer?
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Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer? 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 Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer?.
Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer? 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 Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mean is of types.a)3b)4c)8d)5Correct answer is option 'A'. Can you explain this answer?.
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