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.If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations then the combined HM is given by?
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.If there are two groups with 75 and 65 as harmonic means and containi...
Combined Harmonic Mean of Two Groups

Harmonic mean is a measure of central tendency that is used to find the average of a set of numbers. It is used to find the average rate of speed, average time taken, or average distance covered. When we have two groups and want to find the combined harmonic mean, we can use the following formula:

Combined Harmonic Mean = (Total Number of Observations) / (Sum of Reciprocals of Harmonic Means)

Given Data

Group 1:
Number of observations = 15
Harmonic Mean = 75

Group 2:
Number of observations = 13
Harmonic Mean = 65

Calculations

We can start by finding the sum of the reciprocals of harmonic means:

1/75 + 1/65 = 0.0276

Next, we can find the total number of observations:

15 + 13 = 28

Finally, we can use the formula to find the combined harmonic mean:

Combined Harmonic Mean = 28 / 0.0276 = 1014.49

Therefore, the combined harmonic mean of the two groups is 1014.49.

Conclusion

In conclusion, the combined harmonic mean of two groups can be found by using the formula (Total Number of Observations) / (Sum of Reciprocals of Harmonic Means). We can use this formula to find the average rate of speed, average time taken, or average distance covered when we have two groups of data.
Community Answer
.If there are two groups with 75 and 65 as harmonic means and containi...
15+13/(15/75+13/65)=28*5/2
=70
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.If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations then the combined HM is given by?
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