Option 1 : 32

**Given**

A batsman in his 16th innings makes a score of 92 runs and thereby increases his average by 4.

**Concept used**

Average = Sum of all observations / Total number of observations

Or we can write it as,

Sum of all observations = Average × Total number of observations

**Calculation**

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**