tmua.me Medium Set D Paper 1 · Question 19

tmua.me papers

tmua.me Medium Set D Paper 1 · Q19

Paper 1Statistics

Five real numbers $x_1,x_2,x_3,x_4,x_5$ have mean $3$ .

The ten products formed by choosing two different positions in this list have mean $8$ . For example, $x_1x_2$ is one of these products, and each pair of positions is used once.

What is the mean of $x_1^2,x_2^2,x_3^2,x_4^2,x_5^2$ ?

1

9

13

29

65

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