Home > Statistical Methods calculators > Population Variance, Standard deviation and coefficient of variation for grouped data calculator

Method and examples
Find Population Variance, Standard deviation and coefficient of variation for grouped data
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 & Frequency   Class & Frequency
Rows :    
Click On Generate
 
Standard deviation `sigma` formula -
  1. Auto Select method
  2. Method-1 : `sigma = sqrt((sum f*x^2 - (sum f*x)^2/n)/n)`
  3. Method-2 : `sigma = sqrt((sum f*d^2 - (sum f*d)^2/n)/n) * h`
  1. Class2 - 44 - 66 - 88 - 10
    Frequency3421
  2. Class20 - 2525 - 3030 - 3535 - 4040 - 4545 - 50
    Frequency11017080454035
  3. Class10 - 2020 - 3030 - 4040 - 5050 - 6060 - 7070 - 80
    Frequency15252012853
  4. X01234
    Frequency151063
  5. X1011121314
    Frequency31218123
  6. X1.751.721.731.761.711.801.872.34
    Frequency32456271
  7. X01234
    Frequency279752
  8. X01234
    Frequency179653
  9. Class-40 - -30-30 - -20-20 - -10-10 - 00 - 1010 - 2020 - 3030 - 40
    Frequency710102057231310
  10. Class0 - 22 - 44 - 66 - 88 - 1010 - 12
    Frequency51613754
  11. Class0 - 22 - 44 - 66 - 88 - 1010 - 12
    Frequency27121991
  12. Class15 - 2020 - 2525 - 3030 - 3535 - 4040 - 4545 - 5050 - 5555 - 60
    Frequency391420359622
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