The two grids A and B given below follow a certain pattern.

Analyze each row across both grids to deduce the underlying mathematical pattern:

Grid A:

• Row 1: Left = $2$, Middle = $11$, Right = $7$
  $$2 + 7 + 2 = 11$$
• Row 2: Left = $5$, Middle = $13$, Right = $6$
  $$5 + 6 + 2 = 13$$
• Row 3: Left = $8$, Middle = $13$, Right = $3$
  $$8 + 3 + 2 = 13$$

Pattern Rule: For each row, the middle number equals the sum of the left and right numbers plus $2$:
$$\text{Middle} = \text{Left} + \text{Right} + 2$$

Grid B Verification and Solving:

• Row 1: Left = $7$, Right = $8 \implies 7 + 8 + 2 = 17$ (matches middle cell $17$).
• Row 3: Left = $5$, Right = $5 \implies 5 + 5 + 2 = 12$ (matches middle cell $12$).
• Row 2: Left = $10$, Right = $4 \implies$ Middle value '?':
  $$? = 10 + 4 + 2 = \mathbf{16}$$

Thus, the correct option is B.