HSC Commerce 12th Board ExamMaharashtra State Board
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# Find Karl Pearson'S Correlation Coefficient for the Following Data : - HSC Commerce 12th Board Exam - Mathematics and Statistics

ConceptStatistics Karl Pearson’s Coefficient of Correlation

#### Question

Find Karl Pearson's correlation coefficient for the following data :

 X 3 2 1 5 4 Y 8 4 10 2 6

#### Solution

 X Y X^2 Y^2 xy 3 8 9 64 24 2 4 4 16 8 1 10 1 100 10 5 2 25 4 10 4 6 16 36 24 15 30 55 220 76

Here n =5,∑x=15,∑y=30,∑x^2=55,∑y^2=220,∑xy=76

Karl pearson coefficient of correlation between x
and y is

r(x,y)= (n∑xy-∑x∑y)/(sqrt(n∑x^2-(∑x)^2)sqrt(n∑y^2-(∑y)^2))

= (5xx76-15xx30)/(sqrt(5xx55-(15)^2) sqrt(5xx220-(30)^2))

= (380-450)/(sqrt(275-225)sqrt(1100-900))

=(-70)/(sqrt(50) sqrt(200))

=(-70)/100=-0.7

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#### APPEARS IN

2017-2018 (March) (with solutions)
Question 5.2.2 | 4.00 marks

#### Video TutorialsVIEW ALL [2]

Solution Find Karl Pearson'S Correlation Coefficient for the Following Data : Concept: Statistics - Karl Pearson’s Coefficient of Correlation.
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