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In a survey, the average age of a group of people is 40 years. If one person age

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Question: In a survey, the average age of a group of people is 40 years. If one person aged 60 leaves the group, what will be the new average age if the group originally had 10 members? (2023)

Options:

  1. 38
  2. 39
  3. 40
  4. 41

Correct Answer: 38

Exam Year: 2023

Solution: 

Total age = 40 × 10 = 400. New total age = 400 - 60 = 340. New average = 340 / 9 = 37.78, which rounds to 38.

In a survey, the average age of a group of people is 40 years. If one person age

Practice Questions

Q1
In a survey, the average age of a group of people is 40 years. If one person aged 60 leaves the group, what will be the new average age if the group originally had 10 members? (2023)
  1. 38
  2. 39
  3. 40
  4. 41

Questions & Step-by-Step Solutions

In a survey, the average age of a group of people is 40 years. If one person aged 60 leaves the group, what will be the new average age if the group originally had 10 members? (2023)
  • Step 1: Find the total age of the group. Since the average age is 40 years and there are 10 members, multiply 40 by 10. Total age = 40 × 10 = 400.
  • Step 2: One person aged 60 leaves the group. Subtract 60 from the total age. New total age = 400 - 60 = 340.
  • Step 3: Now, there are 9 members left in the group (10 - 1 = 9).
  • Step 4: To find the new average age, divide the new total age by the number of remaining members. New average = 340 / 9.
  • Step 5: Calculate 340 divided by 9, which is approximately 37.78.
  • Step 6: Round 37.78 to the nearest whole number, which is 38.
  • Average Calculation – Understanding how to calculate the average age by dividing the total age by the number of members.
  • Impact of Removing a Member – Recognizing how the removal of a member affects the total age and the average age of the group.
  • Rounding Numbers – Knowing how to round the final average to the nearest whole number.
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