|
|
|
|
Home > Statistical Methods calculators > Population Variance, Standard deviation and coefficient of variation for grouped data calculator
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Solution
|
Problem: Population Variance {{10,3},{11,12},{12,18},{13,12},{14,3}} [ Calculator, Method and examples ]
Solution:
Your problem `->` Population Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}
`x`
`(1)` | Frequency `(f)`
`(2)` | `f*x`
`(3)=(2)xx(1)` | `f*x^2=(f*x)xx(x)`
`(4)=(3)xx(1)` | | 10 | 3 | 30 | 300 | | 11 | 12 | 132 | 1452 | | 12 | 18 | 216 | 2592 | | 13 | 12 | 156 | 2028 | | 14 | 3 | 42 | 588 | | --- | --- | --- | --- | | `n=48` | `sum f*x=576` | `sum f*x^2=6960` |
Mean `bar x = (sum fx)/n`
`=576/48`
`=12`
Population Variance `sigma^2 = (sum f*x^2 - (sum f*x)^2/n)/n`
`=(6960 - (576)^2/48)/48`
`=(6960 - 6912)/48`
`=48/48`
`=1`
|
|
|
Solution provided by AtoZmath.com
|
|
Any wrong solution, solution improvement, feedback then
|
|
|
|
|
|
|
|
|
|
|
Share this solution or page with your friends.
|
|
|
|
|
