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Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB is
Correct answer is '1'. Can you explain this answer?
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Most Upvoted Answer
Suppose, a population A has 100 observations 101, 102, ..., 200 and a...
Explanation:
Population A:
- Mean of population A = (101 + 102 + ... + 200) / 100 = 150.5
- Variance of population A = [(101-150.5)^2 + (102-150.5)^2 + ... + (200-150.5)^2] / 100
- Variance of population A = 850.25
Population B:
- Mean of population B = (151 + 152 + ... + 250) / 100 = 200.5
- Variance of population B = [(151-200.5)^2 + (152-200.5)^2 + ... + (250-200.5)^2] / 100
- Variance of population B = 850.25
Ratio of Variances:
- VA/VB = 850.25 / 850.25 = 1
Therefore, the correct answer is 1. This demonstrates that the ratio of the variances of the two populations A and B is 1, indicating that both populations have the same spread or variability around their respective means.
Population A:
- Mean of population A = (101 + 102 + ... + 200) / 100 = 150.5
- Variance of population A = [(101-150.5)^2 + (102-150.5)^2 + ... + (200-150.5)^2] / 100
- Variance of population A = 850.25
Population B:
- Mean of population B = (151 + 152 + ... + 250) / 100 = 200.5
- Variance of population B = [(151-200.5)^2 + (152-200.5)^2 + ... + (250-200.5)^2] / 100
- Variance of population B = 850.25
Ratio of Variances:
- VA/VB = 850.25 / 850.25 = 1
Therefore, the correct answer is 1. This demonstrates that the ratio of the variances of the two populations A and B is 1, indicating that both populations have the same spread or variability around their respective means.
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Community Answer
Suppose, a population A has 100 observations 101, 102, ..., 200 and a...
Series A = 101, 102, 103, ....., 200
Series B = 151, 152, 153, ....., 250
Series B is obtained by adding a fixed quantity to each item of series A.
We know that variance is independent of change of origin.
So, both series have the same variance.
So, ratio of their variances is 1.
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Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer?
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Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer?.
Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose, a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB isCorrect answer is '1'. Can you explain this answer?.
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