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In a survey, the average age of 10 people is 30 years. If one person aged 40 lea

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Question: In a survey, the average age of 10 people is 30 years. If one person aged 40 leaves, what will be the new average age?

Options:

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

Correct Answer: 29

Solution: 

Total age = 10 * 30 = 300. New total age = 300 - 40 = 260. New average = 260 / 9 = 28.89.

In a survey, the average age of 10 people is 30 years. If one person aged 40 lea

Practice Questions

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

Questions & Step-by-Step Solutions

In a survey, the average age of 10 people is 30 years. If one person aged 40 leaves, what will be the new average age?
  • Step 1: Calculate the total age of the 10 people. Since the average age is 30 years, multiply 30 by 10. Total age = 30 * 10 = 300.
  • Step 2: One person aged 40 leaves, so subtract 40 from the total age. New total age = 300 - 40 = 260.
  • Step 3: Now, there are 9 people left. To find the new average age, divide the new total age by the number of people left. New average = 260 / 9.
  • Step 4: Calculate 260 divided by 9, which is approximately 28.89.
  • Average Calculation – Understanding how to calculate the average by dividing the total sum of values by the number of values.
  • Impact of Removing a Value – Recognizing how the removal of a single data point affects the overall average.
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