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

Method and examples
 
Find Covariance - Population cov(x,y), Sample cov(x,y) for bivariate grouped data
 
Type your data, for seperator you can use space or tab
for sample click random button
1st row contains Class-X, 2nd row contains Class-Y and others contains data
OR
Class-X & Class-Y   Class-X & Y
Rows :   Columns :    
Click On Generate
Table method option -
  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))`
  1. Class-Y
    Class-X
    90 - 100100 - 110110 - 120120 - 130
    50 - 554752
    55 - 6061074
    60 - 65612107
    65 - 703863
  2. Class-Y
    Class-X
    10 - 2020 - 3030 - 4040 - 5050 - 60
    15 - 2563000
    25 - 353161000
    35 - 450101570
    45 - 55007104
    55 - 6500045
  3. Y
    Class-X
    18192021
    350 - 40014610
    300 - 3502685
    250 - 3003542
    200 - 2504421
  4. Class-Y
    Class-X
    40 - 4950 - 5960 - 6970 - 7980 - 8990 - 99
    40 - 49354000
    50 - 59266200
    60 - 691410520
    70 - 790051081
    80 - 89001465
    90 - 99000244
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