If the mean of m observations out of n observations is n and the mean of remaining observations is m...........

Quantitative Aptitude (CDS) Simplification

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

$2m - \frac{m^{2}}{n}$

$2m + \frac{m^{2}}{n}$

$m - \frac{m^{2}}{n}$

$m + \frac{m^{2}}{n}$

Mean of m observations is n

Mean of n-m observations is m

So total = nm + (n-m)m

Total observations = n

Mean = Total / Total observations = (2mn-m²)/n = 2m – m²/n

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