Computation of covariance - ungrouped data, Mathematics

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Computation of Covariance

Ungrouped Data

         For a population consisting of paired ungrouped data points {X, Y}

1170_computation of covariance ungrouped data.png

where,

                   mx is the arithmetic mean of {X}

                   mY is the arithmetic mean of {Y}

                   N is the number of observations in each population.

For a paired sample {X,Y}

1758_computation of covariance ungrouped data1.png

where,

2068_computation of covariance ungrouped data2.png

is the arithmetic mean of sample {X}

2047_computation of covariance ungrouped data3.png

is the arithmetic mean of sample {Y}

N is the number of observations in each sample.

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