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Q.

If harmonic mean of first 5 observations is 52and  harmonic mean of another 5 observations is 92then harmonic mean of all 10 observations is

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a

7

b

4514

c

10136

d

None of these

answer is B.

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Detailed Solution

Let H1, and n1, are the harmonic mean and number ofobservations of first group and H2and n2 are theharmonic mean and number of observations of anothergroup.∴ By using combined harmonic mean formula, we getcombined harmonic mean =n1+n2n1H1+n2H2=5+555+59=10289=9028=4514
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If harmonic mean of first 5 observations is 52and  harmonic mean of another 5 observations is 92then harmonic mean of all 10 observations is