Correct Answer - Option 3 : 31
Given:
Total exams are 6 and his average score is 40
If two exams were not considered,
His average score is increased by 4.5
Formula Used:
Average = Sum of all observations/Total number of observations
Calculation:
Average in 6 exams is 40
⇒ Sum of marks scored in all exams = 40 × 6
⇒ Sum of marks scored in all exams = 240
Now according to the question,
Average increased by 4.5
⇒ 40 + 4.5
⇒ 44.5
Marks he scored in 4 exams = 44.5 × 4
⇒ Marks he scored in 4 exams = 178
Marks scored by him 2 exams,
⇒ 240 – 178
⇒ 62
Average of his best score and worst score,
⇒ 62/2
⇒ 31
∴ In his best and worst performance his average is 31.