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In a survey, the average age of a group of people is 30 years. If one person age

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Question: In a survey, the average age of a group of people is 30 years. If one person aged 40 leaves the group, what will be the new average age if the group originally had 10 people? (2023)

Options:

  1. 28
  2. 29
  3. 30
  4. 31

Correct Answer: 29

Exam Year: 2023

Solution: 

New total age = (30 × 10) - 40 = 260. New average = 260 / 9 = 28.89, which rounds to 29.

In a survey, the average age of a group of people is 30 years. If one person age

Practice Questions

Q1
In a survey, the average age of a group of people is 30 years. If one person aged 40 leaves the group, what will be the new average age if the group originally had 10 people? (2023)
  1. 28
  2. 29
  3. 30
  4. 31

Questions & Step-by-Step Solutions

In a survey, the average age of a group of people is 30 years. If one person aged 40 leaves the group, what will be the new average age if the group originally had 10 people? (2023)
  • Step 1: Find the total age of the original group. Since the average age is 30 and there are 10 people, multiply 30 by 10. This gives you 300.
  • Step 2: One person aged 40 leaves the group. Subtract 40 from the total age you found in Step 1. So, 300 - 40 equals 260.
  • Step 3: Now, the group has 9 people left (10 - 1 = 9).
  • Step 4: To find the new average age, divide the new total age (260) by the new number of people (9). So, 260 divided by 9 equals approximately 28.89.
  • Step 5: Round 28.89 to the nearest whole number, which is 29.
  • Average Calculation – Understanding how to calculate the average age by adjusting the total age when a member leaves the group.
  • Impact of Removing a Member – Recognizing how the removal of an individual affects the overall average, particularly when the individual is older than the current average.
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