1. Example-1
Formula
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1. Arithematic mean`= ( x_1 + x_2 + x_3 + ... + x_n )/n`
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2. Geometric mean `= root (n)( x_1 xx x_2 xx x_3 xx ... xx x_n )`
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3. Harmonic mean `= n/( 1/x_1 + 1/x_2 + 1/x_3 + ... + 1/x_n )`
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Examples
1. Find Arithematic mean for data `2,3,4,5,6`
AM `= ( X_1 + X_2 + X_3 + X_4 + X_n )/5`
AM `= ( 2 + 3 + 4 + 5 + 6 )/5`
AM `= 20/5`
AM `= 4`
2. Find Geometric mean for data `2,3,4,5,6`
GM `= root (5)( X_1 × X_2 × X_3 × X_4 × X_5 )`
GM `= root (5)( 2 × 3 × 4 × 5 × 6 )`
GM `= root (5)(720)`
GM `= 3.7279`
3. Find Harmonic mean for data `2,3,4,5,6`
HM `= N/( 1/X_1 + 1/X_2 + 1/X_3 + 1/X_4 + 1/X_5 )`
HM = `5/( 1/2 + 1/3 + 1/4 + 1/5 + 1/6 )`
After solving, we get
HM `= 3.4483`
This material is intended as a summary. Use your textbook for detail explanation.
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