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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

If the Sum of Squares of Differences of Ranks for 10 Pairs of Observations is 66, Find the Rank Correlation Coefficient. - Mathematics and Statistics

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प्रश्न

If the sum of squares of differences of ranks for 10 pairs of observations is 66, find the rank correlation coefficient.

बेरीज
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उत्तर

Given n = 10,  ∑d2 = 66 

We have R = 1 - `[ 6∑d^2 ]/[ n( n^2 - 1 )]`

= 1 - ` [ 6 xx 66 ]/[ 10 ( 10^2 - 1 )]`

= 1 - `396/990` = 1 - 0.4 = 0.6

∴ R = 0.6

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2018-2019 (March) Set 1
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