Correct Answer - Option 1 : t + 1
Given:
Total number of matches = 5
The average of the first 3 = t
Calculations:
Let the three scores be a – 1, a, a + 1.
∴ average of 3 scores
⇒ (a – 1 + a + a + 1)/3
⇒ 3a/3
⇒ a
∴ a = t
Similarly, the average of 5 score is:
⇒ (a – 1 + a + a + 1 + a + 2 + a + 3)/5
⇒ (5a + 5)/5
⇒ a + 1
⇒ t + 1
The average of the five score is t + 1.