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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
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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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