In a set of $$20$$ observations, each of the observation below the median of all observations is increased by $$6$$ and each of the remaining observation is decreased $$by2$$.Then the mean of the new set of observations

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Infinity Learn · Accepted Answer

Arrange all observations in increasing or decreasingorder.Let the observations be $$x1$$,$$x2$$…$$x20$$ so that  $$x10+x112$$ .is themedian. The new set of observations will be  $$x1+6$$,…$$x10+6$$,$$x11$$−$$2$$,…,$$x20$$−$$2Their$$ mean is equal to                                $$120$$∑$$i=120$$ $$xi+6$$×$$10$$−$$2$$×$$10=120$$∑$$i=120$$ $$xi+2$$

In a set of 20 observations, each of the observation below the median of all observations is increased by 6 and each of the remaining observation is decreased by
2.Then the mean of the new set of observations

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In a set of 20 observations, each of the observation below the median of all observations is increased by 6 and each of the remaining observation is decreased by2.Then the mean of the new set of observations

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In a set of 20 observations, each of the observation below the median of all observations is increased by 6 and each of the remaining observation is decreased by
2.Then the mean of the new set of observations