Harmonic Mean Given Frequency Distribution

In this class, We discuss Harmonic Mean Given Frequency Distribution.

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The reader should have prior knowledge of harmonic mean. Click Here.

Example 1:

The below table shows the frequency distribution.

The distribution shows the continuous values.

In arithmetic mean, we find the mid-value for continuous data.

Similarly, we find the mid-value for harmonic mean in continuous data.

The below table shows the mid-value and fi/xi values for the distribution.

Harmonic Mean = N/((f1/x1)+(f2/x2)+ . . (fn/xn)).

Why f1/x1?

x1 is having frequency f1 times. So we write f1/x1.

N = 129.

HM = 129/(0.4+0.5+. . .+0.225)

HM = 46.486