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

3. Harmonic mean Example


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

Solution:
Harmonic mean :
`x``1/x`
30.3333
130.0769
110.0909
150.0667
50.2
40.25
20.5
------
`sum 1/x=1.5178`


HM of X `= n/(sum (f/x))`

`=(7)/(1.5178)`

`=4.6118`

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

Solution:
Harmonic mean :
`x``1/x`
100.1
500.02
300.0333
200.05
100.1
200.05
700.0143
300.0333
------
`sum 1/x=0.401`


HM of X `= n/(sum (f/x))`

`=(8)/(0.401)`

`=19.9525`

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

Solution:
Harmonic mean :
`x``1/x`
730.0137
700.0143
710.0141
730.0137
680.0147
670.0149
690.0145
720.0139
760.0132
710.0141
------
`sum 1/x=0.141`


HM of X `= n/(sum (f/x))`

`=(10)/(0.141)`

`=70.9105`


This material is intended as a summary. Use your textbook for detail explanation.
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2. Geometric mean Example
(Previous example)		12. Mean deviation, Coefficient of Mean deviation
(Next method)


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