Question

Find the value of x that makes the median the given number.

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2, 5, 4, 9, 7, x; median = 5

Answer 1

abc

Explanation:

Answer 2

`2, 4, 5, 7, 9\ \ \ \Rightarrow\ \ \ median=5\\ \\ x, 2, 4, 5, 7, 9\ \ \ \Rightarrow\ \ \ median= (4+5)/(2) =4 (1)/(2)\\ \\ 2, 4, 5, 7, 9, x\ \ \ \Rightarrow\ \ \ median= (5+7)/(2) =6\\ \\ 2, 4, 5, x, 7, 9\ \ \ \Rightarrow\ \ \ median= (5+x)/(2)\\ \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (5+x)/(2)=5\ \ /\cdot2\\ \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5+x=10\\ \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=5`