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A group of friends has an average age of 25 years. If one friend aged 30 leaves

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Question: A group of friends has an average age of 25 years. If one friend aged 30 leaves the group, what will be the new average age if the group size is 5?

Options:

  1. 24
  2. 25
  3. 26
  4. 27

Correct Answer: 24

Solution:

Total age = 25 * 5 = 125. New total age = 125 - 30 = 95. New average = 95 / 4 = 23.75.

A group of friends has an average age of 25 years. If one friend aged 30 leaves

Practice Questions

Q1
A group of friends has an average age of 25 years. If one friend aged 30 leaves the group, what will be the new average age if the group size is 5?
  1. 24
  2. 25
  3. 26
  4. 27

Questions & Step-by-Step Solutions

A group of friends has an average age of 25 years. If one friend aged 30 leaves the group, what will be the new average age if the group size is 5?
  • Step 1: Calculate the total age of the group. Since the average age is 25 and there are 5 friends, multiply 25 by 5. Total age = 25 * 5 = 125.
  • Step 2: One friend aged 30 leaves the group. Subtract 30 from the total age. New total age = 125 - 30 = 95.
  • Step 3: Now, there are 4 friends left in the group. To find the new average age, divide the new total age by the new number of friends. New average = 95 / 4.
  • Step 4: Calculate 95 divided by 4. New average = 23.75.
  • Average Calculation – Understanding how to calculate the average age based on total age and group size.
  • Impact of Removing an Element – Recognizing how the removal of an individual affects the total and average.
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