(a) To draw the cumulative frequency graph, plot the points (40, 0), (60, 14), (65, 38), (70, 60), (85, 106), and (100, 120) on a graph with the x-axis representing weight (kg) and the y-axis representing cumulative frequency. Connect these points with a smooth curve.

(b) To find the weight W such that 35% of the students weigh more than W kg, calculate 65% of the total cumulative frequency (since 100% - 35% = 65%).

Calculate 65% of 120: \(120 \times 0.65 = 78\).

Using the cumulative frequency graph, find the weight corresponding to a cumulative frequency of 78. This weight is approximately 76 kg.