Question
In a workshop with 20 participants, the average
productivity score is 90. One person with a score of 85 leaves, and 3 new participants with an average score of 92 join. When the trainer’s score is also included, the new average becomes 91. What is the score of the trainer?Solution
Initial total score = 20 × 90 = 1800
Score of 3 new participants = 3 × 92 = 276 Let the trainer’s score be ‘y’
New total score without trainer = 1800 - 85 + 276 + y = (1991 + y)
New total number of people = 20 - 1 + 3 + 1 = 23
New total score = 23 × 91 = 2093
So, trainer’s score = 2093 - 1991 = 102
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