Find Arithmetic mean, Geometric mean, Harmonic mean Example-2

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Home > Statistical Methods calculators > Arithmetic Mean, Geometric Mean, Harmonic Mean example

Find Arithmetic mean, Geometric mean, Harmonic mean example ( Enter your problem )

( Enter your problem )

Example-1
Example-2

Other related methods

Find Arithmetic mean(AM), Geometric mean(GM), Harmonic mean(HM)
Find X from Arithmetic mean(AM), Geometric mean(GM), Harmonic mean(HM)
Find Mean or Median or Mode from other two's

1. Example-1
(Previous example)

2. Find X from Arithmetic mean(AM), Geometric mean(GM), Harmonic mean(HM)
(Next method)

2. Example-2

1. Find Arithematic mean for data `5,4,6,3,7,5`

Solution:
AM `=(x_1+x_2+x_3+x_4+x_5+x_6)/6`

`=(5+4+6+3+7+5)/6`

`=30/6`

`=5`

2. Find Geometric mean for data `5,4,6,3,7,5`

Solution:
GM `=root (6)(x_1 xx x_2 xx x_3 xx x_4 xx x_5 xx x_6)`

`=root (6)(5 xx 4 xx 6 xx 3 xx 7 xx 5)`

`=root (6)(12600)`

`=4.8239`

3. Find Harmonic mean for data `5,4,6,3,7,5`

Solution:
HM `=N/(1/x_1+1/x_2+1/x_3+1/x_4+1/x_5+1/x_6)`

`=6/(1/5+1/4+1/6+1/3+1/7+1/5)`

After solving, we get
HM `=4.6409`

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