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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, 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
2. Geometric mean Example
(Previous example)		8. 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)		8. Mean deviation, Coefficient of Mean deviation
(Next method)


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