The average mark obtained by 22 candidates in an examination is 43. The average marks of the first ten are 45 and the last eleven are 40. The number of marks obtained by the 11^th candidate is-

Question: The average mark obtained by 22 candidates in an examination is 43. The average marks of the first ten are 45 and the last eleven are 40. The number of marks obtained by the 11^th candidate is-

Solution:
Total marks scored by 22 candidates = 22 × 43
= 946
Total marks scored by first 10 candidates =10 × 45
= 450
Total marks scored by last 11 candidates = 11 × 40
= 440

∴ Marks scored by 11th candidate = 946 - (450 + 440)
= 56