STATISTICS FORMULA SHEET PDF

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Summary

FORMULAE FOR STATISTICS...

Description

Formula Sheet Ungrouped Data Sample variance s2=

(

)

( x)2 ∑ x2 − ∑n

Grouped Data Sample mean

n−1 k

∑ m j ×f j ¯x =

j=1 k

∑fj j=1

Sample median Sample mode

n

M e = Ome + M o =O mo +

Sample variance

s2= ith Quartile ith Percentile

c×[ 2 − F me−1 ] f me c×( f mo − f mo−1 )

( f mo− f mo −1 ) +( f mo −f mo+1 )

( )

1 × n−1

Q i = O Qi +

c×[

[

∑ ( f j×m2j ) −

i∗n − 4

fQ

(

( ∑ f j×m j )2 n

F Q −1 ] i

i

(

)

i×n −F P −1 c× i 100 Pi=O P + i fP i

Graphical description

Skewness

M e−M o s

3× ( ¯x −M e ) s

OR Probability counting methods Permutation

n

Combination

n

General Partitions

Pr =

n! (n−r ) !

()

n! Cr = n = r r !× ( n−r ) ! n1 ,

¿

n n 2 , . .. ¿ rig h ¿ ¿ ¿ ¿ ( ¿ )

nk

¿

Probability Distributions

Probability Mass Function for the Binomial Distribution If X has a Poisson distribution then If X is normally distributed then

x

P ( X = xi ) =n C x × p i ¿(1− p ) i

P( x;  ) 

 x e  x!

(

P( X...