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If the arithmetic mean of the following distribution is 8.2, then a = `{:(x_(i) " :",1,3,5,9,11,13),(f_(i)" :",3,2,7,a,4,8):}`

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If the arithmetic mean of the following distribution is 8.2, then a =
`{:(x_(i) " :",1,3,5,9,11,13),(f_(i)" :",3,2,7,a,4,8):}`
A. 5
B. 6
C. 9
D. none of these
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Correct Answer - B
We have,
`(1xx3+3xx2+5xx7+9a+11xx4+13xx8)/(3+2+7a+4+8)=8.2`
`rArr (3+6+35+9a+44+104)/(24+a)=8.2`
`rArr 9a+192 =24xx8.2+8.2a rArr 0.8a= 4.8 rArr a =6`
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