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Geometric mean Example for ungrouped data ( Enter your problem )
  1. Formula & Example
  2. Geometric mean Example
  3. Harmonic mean Example
Other related methods
  1. Mean, Median and Mode
  2. Quartile, Decile, Percentile, Octile, Quintile
  3. Population Variance, Standard deviation and coefficient of variation
  4. Sample Variance, Standard deviation and coefficient of variation
  5. Population Skewness, Kurtosis
  6. Sample Skewness, Kurtosis
  7. Geometric mean, Harmonic mean
  8. Mean deviation, Coefficient of Mean deviation
  9. Quartile deviation, Coefficient of QD, Interquartile range
  10. Decile deviation, Coefficient of DD, Interdecile range
  11. Percentile deviation, Coefficient of PD, Interpercentile range
  12. Five number summary
  13. Box and Whisker Plots
  14. Construct an ungrouped frequency distribution table
  15. Construct a grouped frequency distribution table
  16. Maximum, Minimum
  17. Sum, Length
  18. Range, Mid Range
  19. Stem and leaf plot
  20. Ascending order, Descending order

1. Formula & Example
(Previous example)
3. Harmonic mean Example
(Next example)

2. Geometric mean Example





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


Solution:
Geometric mean :
`x``log(x)`
30.4771
131.1139
111.0414
151.1761
50.699
40.6021
20.301
------
`sum log(x)=5.4106`


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

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

`= Antilog(0.7729)`

`= 5.9285`


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


Solution:
Geometric mean :
`x``log(x)`
101
501.699
301.4771
201.301
101
201.301
701.8451
301.4771
------
`sum log(x)=11.1004`


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

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

`= Antilog(1.3875)`

`= 24.4088`


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


Solution:
Geometric mean :
`x``log(x)`
731.8633
701.8451
711.8513
731.8633
681.8325
671.8261
691.8388
721.8573
761.8808
711.8513
------
`sum log(x)=18.5098`


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

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

`= Antilog(1.851)`

`= 70.9552`


This material is intended as a summary. Use your textbook for detail explanation.
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