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If there is a perfect disagreement between the marks in Geography and Statistics, then what would be the value of rank correlation coefficient?
  • a)
    Any value
  • b)
    Only 1
  • c)
    Only –1
  • d)
    (b) or (c)
Correct answer is option 'C'. Can you explain this answer?
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If there is a perfect disagreement between the marks in Geography and ...
The coefficient is inside the interval [−1, 1] and assumes the value: 1 if the agreement between the two rankings is perfect; the two rankings are the same. 0 if the rankings are completely independent. −1 if the disagreement between the two rankings is perfect; one ranking is the reverse of the other.
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If there is a perfect disagreement between the marks in Geography and ...
Rank correlation coefficient measures the degree of association between the ranks of two variables. In this case, we have two variables - marks in Geography and marks in Statistics.

If there is a perfect disagreement between the marks in Geography and Statistics, it means that the ranks of the two variables are completely opposite. For example, if a student has the highest rank in Geography, they will have the lowest rank in Statistics, and vice versa.

In such a scenario, the value of rank correlation coefficient would be -1. This is because there is a perfect negative correlation between the two variables.

Therefore, the correct answer is option 'C', which states that the value of rank correlation coefficient would be only -1.
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If there is a perfect disagreement between the marks in Geography and Statistics, then what would be the value of rank correlation coefficient?a)Any valueb)Only 1c)Only –1d)(b) or (c)Correct answer is option 'C'. Can you explain this answer?
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