1. Calculate Geometric mean from the following data
`3,13,11,15,5,4,2`

Solution:
Geometric mean :

`x`	`log(x)`
3	0.4771
13	1.1139
11	1.0414
15	1.1761
5	0.699
4	0.6021
2	0.301
---	---
	`sum log(x)=5.4106`

GM of X `= Antilog((sum flog(x))/n)`

`= Antilog((5.4106)/(7))`

`= Antilog(0.7729)`

`= 5.9285`

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2. Calculate Geometric mean from the following data
`10,50,30,20,10,20,70,30`

Solution:
Geometric mean :

`x`	`log(x)`
10	1
50	1.699
30	1.4771
20	1.301
10	1
20	1.301
70	1.8451
30	1.4771
---	---
	`sum log(x)=11.1004`

GM of X `= Antilog((sum flog(x))/n)`

`= Antilog((11.1004)/(8))`

`= Antilog(1.3875)`

`= 24.4088`

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3. Calculate Geometric mean from the following data
`73,70,71,73,68,67,69,72,76,71`

Solution:
Geometric mean :

`x`	`log(x)`
73	1.8633
70	1.8451
71	1.8513
73	1.8633
68	1.8325
67	1.8261
69	1.8388
72	1.8573
76	1.8808
71	1.8513
---	---
	`sum log(x)=18.5098`

GM of X `= Antilog((sum flog(x))/n)`

`= Antilog((18.5098)/(10))`

`= Antilog(1.851)`

`= 70.9552`

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