Harmonic mean of 1919, 2222

The calculator will find the harmonic mean of 1919, 2222, with steps shown.

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Your Input

Find the harmonic mean of 1919, 2222.

Solution

The harmonic mean of data is given by the formula H=ni=1n1xiH = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_{i}}}, where nn is the number of values and xi,i=1..nx_i, i=\overline{1..n} are the values themselves.

Since we have 22 points, n=2n = 2.

The sum of the reciprocals of the values is 119+122=41418\frac{1}{19} + \frac{1}{22} = \frac{41}{418}.

Therefore, the harmonic mean is H=241418=83641H = \frac{2}{\frac{41}{418}} = \frac{836}{41}.

Answer

The harmonic mean is 8364120.390243902439024\frac{836}{41}\approx 20.390243902439024A.