Discussion
Meenu wrote some numbers on the blackboard and arranged them in ascending order as \(2 \lt 7 \lt 9 \lt 12\). She then multiplied each number by \(\left(-\frac{1}{2}\right)\).
Identify the correct statement regarding the above situation.
Answer: D
The ascending order will now be changed to descending order.
Multiplying by a negative number reverses an inequality. The numbers become -1, -3.5, -4.5 and -6, so
\[ -1 \gt -3.5 \gt -4.5 \gt -6 \]
which is descending order. The number of terms stays four, the ascending order does not survive, and the mean changes from 7.5 to -3.75, so the other three statements are false.
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