The average of eight observations is 25. If one observation 11 is removed, find the average of the remaining observations.

Correct option is B

Given:

Average of 8 observations = 25
One observation removed = 11

Formula Used:

1. The sum of observations:
Sum of observations = $$\text{Average} \times \text{Number of observations}$$​

2. New average after removing an observation:
$$\text{New Average} = \frac{\text{New Sum}}{\text{New Number of Observations}}$$​

Solution:

1. Calculate the sum of the original 8 observations:
$$\text{Sum of observations} = 25 \times 8 = 200$$​

2. Subtract the removed observation:
New Sum = 200 - 11 = 189

3. Calculate the new average for the remaining 7 observations:
$$\text{New Average} = \frac{189}{7} = 27$$​

Final Answer:

The average of the remaining observations is **27**.