The harmonic mean of 4, 8, 16 is | vedclass

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(C) The harmonic mean $(H.M.)$ of $n$ numbers $x_1, x_2, ..., x_n$ is given by $\frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}}$.For the numbers $4, 8, 16$,we

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$6.85$

Vedclass · Answer

(C) The harmonic mean $(H.M.)$ of $n$ numbers $x_1, x_2, ..., x_n$ is given by $\frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}}$.For the numbers $4, 8, 16$,we have $n = 3$.$H.M. = \frac{3}{\frac{1}{4} + \frac{1}{8} + \frac{1}{16}}$$= \frac{3}{\frac{4+2+1}{16}}$$= \frac{3}{\frac{7}{16}}$$= \frac{3 	imes 16}{7} = \frac{48}{7} \approx 6.857$.Rounding to two decimal places,we get $6.86$. Given the options,the closest value is $6.85$.

The harmonic mean of $4, 8, 16$ is

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