The mean and median of the numbers 1, 2, 3,4, y, 8, 9, 10, 12 and x written in increasing order are both 10, then the values of x and y are _____.
A
x=15,y=36
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B
x=39,y=12
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C
x=15,y=36
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D
x=39,y=15
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Solution
The correct option is Bx=39,y=12 Given numbers are 1, 2, 3,4, y, 8, 9, 10, 12 and x. ∵Mean=∑xiN⇒10=1+2+3+4+y+8+9+10+12+x10⇒100=49+x+y⇒x+y=51 andmedian=(n2)thobservation+(n2+1)thobservation2⇒10=y+82⇒20=y+8⇒y=12∴x=51−12 =39 ∴x=39,y=12