Best Math Formula website. Search anything about Math Formula in this website.
calculate harmonic mean value. Weighted Harmonic Mean w_i w_ix_i Where. The Harmonic mean for normal mean is x n so if the formula is reversed it becomes n x and then all the values of the denominator that must be used should be reciprocal ie for the numerator it remains n but for the denominator the values or the observations for them we need to use to reciprocal values.
Whereas the arithmetic mean requires addition the geometric mean employs multiplication the harmonic mean utilizes reciprocals. The reciprocal of the average of the reciprocals Yes that is a lot of reciprocals. The difference between these two is that the first problem is calculating an average speed based on time while the second is based on distance.
X 1 x 132 00758 142 00704 148 00676 152 00658 161 00621 f X.
Next and final step is to take reciprocal of that value to arrive at a harmonic mean. The formula is equivalent to. The weighted harmonic mean can be calculated using the following formula. H frac n frac 1 x_1 frac 1 x_1.