tmua.me Extreme Set C Paper 2 · Question 5

Let $m$ be a real constant. Consider the following statement.

For every list of five distinct real numbers with mean $m$ and median $1$ , the median of their five squares is strictly greater than $1$ .

Which of the following correctly describes the condition $m<1$ in relation to this statement?

AThe condition is necessary but not sufficient for the statement.

BThe condition is sufficient but not necessary for the statement.

CThe condition is both necessary and sufficient for the statement.

DThe condition is neither necessary nor sufficient for the statement.

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