Question

Rank correlation coefficient r=0.8. d² =33 | Then n is ______​

Answer 1

Answer:

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Answer 2

The value of n = 10

Correct question

Rank correlation coefficient r=0.8. ∑d² =33 | Then n is

Given

• Rank correlation coefficient r = 0.8
• ∑d² =33

To find

• value of n

Solution

we are provided with the rank correlation Coefficient and ∑d² =33 and are asked to find the value of n

the standard equation of Rank correlation coefficient is given by,

r = 1 - {6∑d²}/{n(n^2-1)}

{6∑d²}/{n(n^2-1)} = 1 -r

substituting the values,

{6∑d²}/{n(n^2-1)} = 1 - 0.8

or, {6∑d²}/{n(n^2-1)} = 0.2

or, {6×33}/{n(n^2-1)} = 0.2

or, 198/0.2 = n(n^2-1)

or, 990 = n(n^2-1)

or, n^3 - n^2 - 990 = 0

using hit and trial method we get,

n = 10 ( n is no. of observation, it can only be natural number)