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Q.

The mean and median of the ordered data $x_{1}, x_{2}, 2 x_{1}$ are equal to 6, then the data is

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a

1,3,6

b

3,6,9

c

6,8,10

d

4,6,8

answer is C.

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Detailed Solution

Median of

x_{1}, x_{2}, 2 x_{1}

is

x_{2}

$∴ x_{2} = 6$

Mean $= \frac{x_{1} + 6 + 2 x_{1}}{3} = 6$

$\Rightarrow 3 x_{1} + 6 = 18 \Rightarrow x_{1} = 4$

$∴$ data is 4,6,8

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The mean and median of the ordered data x1,x2,2x1 are equal to 6, then the data is