1.

If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of thefollowing is true ?(1) `3a^2-26 a+55=0`(2) `3a^2-32 a+84=0`(3) `3a^2-34 a+91=0`(4) `3a^2-23 a+44=0`A. `3a^(2)-32a+84=0`B. `3a^(2)-34a+91=0`C. `3a^(2)-23a+44=0`D. `3a^(2)-26a+55=0`

Answer» Correct Answer - A
Standard deviation of numbers 2,3,a and 11 is 3.5
`therefore (3.5)^(2)=(sum x_(i)^(2))/(4)-(overline(x))^(2)`
`implies (3.4)^(2)=(4+9+a^(2)+121)/(4)-((2+3+a+11)/(4))^(2)`
On solving, we get
`3a^(2)-32a+84=0`


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