Home > Statistical Methods calculators > Covariance - Population cov(x,y), Sample cov(x,y) calculator

Method and examples
Find Covariance - Population cov(x,y), Sample cov(x,y) for X & Y or Class-X & Y
Type your data in either horizontal or verical format,
for seperator you can use '-' or ',' or ';' or space or tab
for sample click random button

OR
X & Y   Class-X & Y
Rows :
Click On Generate
 Correlation Coefficient r without cov(x,y) Correlation Coefficient r with population cov(x,y) Correlation Coefficient r with sample cov(x,y) Population cov(x,y) Sample cov(x,y)
r formula -
1. Auto Select method
2. Method-1 : r = (n * sum xy - sum x * sum y)/(sqrt(n * sum x^2 - (sum x)^2) * sqrt(n * sum y^2 - (sum y)^2))
3. Method-2 : r = (sum (x-bar x)(y-bar y))/(sqrt(sum (x-bar x)^2) * sqrt(sum (y-bar y)^2))
Or r = (n * sum dxdy - sum dx * sum dy)/( sqrt(n * sum dx^2 - (sum dx)^2) * sqrt(n * sum dy^2 - (sum dy)^2))
1.  Class-X 2 - 4 4 - 6 6 - 8 8 - 10 Y 3 4 2 1
2.  Class-X 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 Y 110 170 80 45 40 35
3.  Class-X 110 - 111 111 - 112 112 - 113 113 - 114 114 - 115 115 - 116 116 - 117 117 - 118 118 - 119 Y 600 640 640 680 700 780 830 900 1000
4.  X 0 1 2 3 4 Y 1 5 10 6 3
5.  X 3 4 6 7 10 Y 9 11 14 15 16
6.  X 100 101 102 102 100 99 97 98 96 95 Y 98 99 99 97 95 92 95 94 90 91
7.  X 23 27 28 29 30 31 33 35 36 39 Y 18 22 23 24 25 26 28 29 30 32
8.  X 300 350 400 450 500 550 600 650 700 Y 800 900 1000 1100 1200 1300 1400 1500 1600
9.  X 10 11 12 13 14 Y 3 12 18 12 3
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