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  • The median of the following observation arranged in the ascending order is 24 .The observation are 14, 18, x + 2, X + 4,30,34. find the value of x + 2, x + 4 . find mean also?

The median of the following observation arranged in the ascending order is 24 .The observation are 14, 18, x + 2, X + 4,30,34. find the value of x + 2, x + 4 . find mean also?

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eginarrayl extGiven number series in ascending order is: 14, 18, x+2, x+4, 30, 34\ extMedian of given series is 24.\ extsince no. of terms=6.\ extThere is an even number of data points, so the median is the average of the middle two data points. \ extSo median=24=fracleft(left(x+2 ight)+left(x+4 ight) ight)2=frac2x+62=x+3.\ Rightarrow x+3=24\ Rightarrow x=21\ extSo , x+2=21+2=23 ; x+4=21+4=25\ extNow, mean =fracleft(14+18+23+25+30+34 ight)6=frac1446=24.\ \ endarray

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Deependra Verma

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