Given that N = 200 and x̄ = 83.875
Let K1 and K2 be the missing frequencies
83.875 × 200 = 10962.5 + 62.5K1 + 137.5K2
62.5K1 + 137.5K2 = 16775 – 10962.5
62.5K1 + 137.5K2 = 5812.5 …………..(1)
It is given that M = 200
i.e., 137 + K1 +K2= 200
K1+ K2= 63…………….(2)
From (1) and (2): (1)-(2) x 62.5
∴ K1 = 38, K2 = 25 are the missing frequencies.