Given,
The mean and variance of 7 observations are 8 and 16, respectively
Let the remaining two observations be x and y,
Observations: 2, 4, 10, 12, 14, x, y
∴ Mean,
42 + x + y = 56
x + y = 14 -(i)
Now, Variance,
Squaring (i), we get
Hence, From (i) and (v):
x – y = 2 ⇒ x = 8 and y = 6
x – y = -2 ⇒ x = 6 and y = 8
Therefore, The remaining observations are 6 and 8