Raw Data Grouped Data

Measures of Location:

μ=∑ x

Nμ=

∑ f x

N

x=∑ x

nx=

∑ f x

n

md=¿md=L+c ( 12 n−Ff )

Measures of Variation:

Range=Hd−Ld Range=¿

QR=Q3−Q1

QD=QR2

AD=∑ ¿d∨¿

n¿ AD=

∑ f∨d∨¿n

¿

σ=√∑ (x−μ )2

Nσ=√∑ f ( x−μ )2

N

s=√∑ ( x−x )2

n−1s=√∑ f ( x−x )2

n−1

s=√ n∑ x2−(∑ x )2

n (n−1)s=√ n∑ f x2−(∑ f x )2

n(n−1)

s=c√ n∑ f u2−(∑ f u )2

n(n−1)

Permutation: Combination:

nPr= n!(n−r ) !

nC r= n !r ! (n−r )!