Correct Answer - Option 4 : 161
Given:
Average of 13 numbers = 77
Average after 14th number is included = 83
Formula used:
Sum of observations = Average × Number of observations
Calculation:
Sum of 13 numbers = 13 × 77 = 1001
Sum of 14 numbers = 14 × 83 = 1162
14th number = 1162 – 1001
⇒ 161
∴ The 14th number is 161