Correct Answer - Option 1 : 32
A batsman in his 16th innings makes a score of 92 runs and thereby increases his average by 4.
Average = Sum of all observations / Total number of observations
Or we can write it as,
Sum of all observations = Average × Total number of observations
Suppose the average run after 15th innings was x.
As per the question,
Total runs after 16 innings = 15x + 92
Total runs after 16 innings = 16(x + 4)
⇒ 15x + 92 = 16x + 64
⇒ x = 28
Average runs after 16th innings = 28 + 4 = 32 Runs
∴ Average runs after 16th innings is 32