Statistics Formulas

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Statistics is the science which deals with the method of collecting, classifying, presenting, comparing and interpreting numerical data collected throw some light on any sphere of inquiry.
 
In modern times the field of utility of statistics has widened considerably, in ancient times statistics was confined only to the state but it embraces almost every sphere of human activity.
 
Statistics formula: -
 
Terms Notation Formula
Population mean µ ∑x/ N
Population variance σ^2 ∑(x-µ)^2/N
Population standard deviation σ √[∑(x-µ)^2/N]
Sample mean x? ∑x/n
Sample variance s^2 ∑(x - x?) ^2/ n-1
Sample standard deviation s √[∑(x - x?) ^2/ n-1]
Mean absolute deviation MAD ∑|x - µ| / N
Range Range Largest value – Smallest value
Midrange Midrange (Largest value – Smallest value) / 2
Interquartile range IQR Q3- Q1
Coefficient of variation CV σ/µ (100)
Discrete probability
Mean
Standard deviation
 
µ
σ
 
∑ x P(x)
√[∑x^2 P(x) - µ^2]
Binomial probability
Mean
Standard deviation
P(x)
µ
σ
nCxp^x q^(n-x)
np
√npq
Poisson probability
Mean
Variance
Standard deviation
P(x)
µ
σ^2
σ
?^x e^*(-x) / x!
?
?
√?
Z score z (x- µ) / σ
Correlation coefficient r SSxy/ √(SSxx * SSyy)
Simple regression   y^ = a+ bx
 
 

 

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