Harmonic Hateful Formulas Inwards Statistic

Harmonic Mean Formulas

Average harmonic is the average calculated past times converting all information into fractions, of which the information value is used every bit the denominator in addition to the numerator is 1, hence all the fractions are summed in addition to hence used every bit the divisor of the amount of data.

Harmonic Mean Formulas inwards Statistic

H = n/(∑(1/x_i))

Information :

H = average harmonic value

n = amount of data

∑ = sigma notation

x_i = data

Example :

Please calculate the Harmonic hateful of 3,5,6,6,7,10,12!

Answer :

n = 7

x_i = 3,5,6,6,7,10,12

H = n/(∑(1/x_i))

H = 7/((1/3)+(1/5)+(1/6)+(1/6)+(1/7)+(1/10)+(1/12))
H = 7/((4/12)+(1/5)+(2/12)+(2/12)+(1/7)+(1/10)+(1/12))

H = 7/(((4+2+2+1)/12)+(1/5)+(1/7)+(1/10))

H = 7/((9/12)+(1/5)+(1/7)+(1/10))

H = 7/((9/12)+(2/10)+(1/7)+(1/10))

H = 7/((9/12)+((2+1)/10)+(1/7))

H = 7/((9/12)+(3/10)+(1/7))

H = 7/((9/12)+(21/70)+(10/70))

H = 7/((9/12)+((21+10)/70))

H = 7/((9/12)+(31/70))

H = 7/((630/840)+(372/840))

H = 7/((630+372)/840)

H = 7/((1002)/840)

H = seven x (840/1002)

H = 5880/1002

H = 5,87

So the harmonic average of 3,5,6,6,7,10,12 is 5,87

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