Given a set $A$ with median $m_1 = 2$ and a set $B$ with median $m_2 = 4$, what can be said about the median of the combined set?
- A. at most 1
- B. at most 2
- C. at least 1
- D. at least 2
✅ Correct Answer: at least 2
Explanation
Let $m_1$ be the median of set $A$ and $m_2$ be the median of set $B$ For the combined data, the median $m$ always lies between the two medians $ m_1 < m < m_2 $ So $2 < m < 4$ Hence the median of the combined set is at least $2$
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