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JEE Math Practice Question

Let the mean and variance of the frequency distribution $$\begin{matrix} {x:} & {{x_1} = 2} & {{x_2} = 6} & {{x_3} = 8} & {{x_4} = 9} \\ {f:} & 4 & 4 & \alpha & \beta \\ \end{matrix} $$ be 6 and 6.8 respectively. If x3 is changed from 8 to 7, then the mean for the new data will be :

  1. A.4
  2. B.5
  3. C.$${{17} \over 3}$$
  4. D.$${{16} \over 3}$$

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