Step-by-step Solution:

\( m_1 = 2 \) corresponds to the first series (A) \[\] \( m_2 = 4 \) corresponds to the second series (B) \[\] The median of the combined series is denoted by \( M \). When combining two distributions (series), the median of the combined series is always greater than or equal to the minimum of the medians of the individual series. This is expressed as: \[ M \geq \min(M_1, M_2) \] \[ M \geq \min(2, 4) \] Thus, the median of the combined series will be greater than or equal to 2: \[ M \geq 2 \] This gives the minimum possible median of the combined series as 2.