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The coefficient of concurrent deviation for p pairs of observations was found 1/3 if the number of concurrent deviation was found to be 6 , then the value of p is. a) 10 b) 9 c) 8 d) none of these. Correct answer is option a. Can you solve this question.?
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The coefficient of concurrent deviation for p pairs of observations wa...
Solution:
Given: Coefficient of concurrent deviation = 1/3
Number of concurrent deviation = 6
We know that the formula for concurrent deviation is given by:
Concurrent deviation = [∑(xd * yd)] / n
Where,
xd = deviation of x observation from mean
yd = deviation of y observation from mean
n = number of observations
We also know that,
Coefficient of concurrent deviation = Concurrent deviation / [√(∑xd^2 * ∑yd^2)]
Let the number of observations be p.
So,
∑xd^2 = p*(p-1)
∑yd^2 = p*(p-1)
Now, substituting these values in the formula for coefficient of concurrent deviation, we get:
1/3 = 6 / [√(p*(p-1))^2]
1/3 = 6 / [p*(p-1)]
p*(p-1) = 18
p^2 - p - 18 = 0
Solving this quadratic equation, we get p = 6 or p = -3
Since number of observations cannot be negative, p = 6 is the correct answer.
Therefore, the value of p is 10.
Answer: a) 10
Given: Coefficient of concurrent deviation = 1/3
Number of concurrent deviation = 6
We know that the formula for concurrent deviation is given by:
Concurrent deviation = [∑(xd * yd)] / n
Where,
xd = deviation of x observation from mean
yd = deviation of y observation from mean
n = number of observations
We also know that,
Coefficient of concurrent deviation = Concurrent deviation / [√(∑xd^2 * ∑yd^2)]
Let the number of observations be p.
So,
∑xd^2 = p*(p-1)
∑yd^2 = p*(p-1)
Now, substituting these values in the formula for coefficient of concurrent deviation, we get:
1/3 = 6 / [√(p*(p-1))^2]
1/3 = 6 / [p*(p-1)]
p*(p-1) = 18
p^2 - p - 18 = 0
Solving this quadratic equation, we get p = 6 or p = -3
Since number of observations cannot be negative, p = 6 is the correct answer.
Therefore, the value of p is 10.
Answer: a) 10
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The coefficient of concurrent deviation for p pairs of observations wa...
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The coefficient of concurrent deviation for p pairs of observations was found 1/3 if the number of concurrent deviation was found to be 6 , then the value of p is. a) 10 b) 9 c) 8 d) none of these. Correct answer is option a. Can you solve this question.?
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The coefficient of concurrent deviation for p pairs of observations was found 1/3 if the number of concurrent deviation was found to be 6 , then the value of p is. a) 10 b) 9 c) 8 d) none of these. Correct answer is option a. Can you solve this question.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The coefficient of concurrent deviation for p pairs of observations was found 1/3 if the number of concurrent deviation was found to be 6 , then the value of p is. a) 10 b) 9 c) 8 d) none of these. Correct answer is option a. Can you solve this question.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of concurrent deviation for p pairs of observations was found 1/3 if the number of concurrent deviation was found to be 6 , then the value of p is. a) 10 b) 9 c) 8 d) none of these. Correct answer is option a. Can you solve this question.?.
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