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The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and 35 respectively, then `(y)/(x)` is equal toA. `(7)/(3)`B. `(7)/(2)`C. `(8)/(3)`D. `(9)/(4)` |
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Answer» Correct Answer - A Given ten numbers are 10, 22, 26, 29, 34, x, 42, 67, 70, y and their mean `=42` ` therefore (10+ 22+ 26+ 29+ 34+ x+ 42+ 67+ 70+ y)/(10)=42` `rArr (300+x+y)/(10)=42` `rArr x+y=120 " …(i)" ` and their median (arranged numbers are in increasing order)`= 35` `rArr (34+x)/(2)=35` `rArr 34+x=70` `rArr x=36` On substituting `x=36` in Eq. (i), we get `36+y=120` `rArr y=84` ` therefore (y)/(x)=(84)/(36)=(7)/(3)` |
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