Business Statistics

Chapter 3 | Measures of Central Tendency 79

3

1 2

1

1 2 3

. .

n

f f

f f

N

n

G x x x x

 

=

 



Taking logarithms on both sides in the above equation, we have

[ ]

1 1 2 2

1

log log log log

n n

G f x f x f x

N

= + + +

1

1

log ( log )

n

i i

i

G f x

N

=

=

∑

The above formula can be used for calculating the geometric mean for a discrete frequency dis-

tribution. So, geometric mean for a discrete frequency distribution can be obtained by inserting one

more column in the solution (as compared to computing geometric mean for an individual series), that

is

1

( log )

n

i i

i

f x

=

∑

. Similarly the geometric mean for a continuous series can be obtained by nding out

the mid-value of the ...