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Home > Statistics > Ungrouped data > 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

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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