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A group of students has an average age of 20 years. If a new student aged 22 joi

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Question: A group of students has an average age of 20 years. If a new student aged 22 joins the group, what will be the new average age if there were originally 15 students?

Options:

  1. 20.5
  2. 20.6
  3. 20.7
  4. 20.8

Correct Answer: 20.6

Solution: 

The total age of the original group is 20 * 15 = 300. Adding the new student gives 300 + 22 = 322. The new average age is 322 / 16 = 20.125, which rounds to 20.6.

A group of students has an average age of 20 years. If a new student aged 22 joi

Practice Questions

Q1
A group of students has an average age of 20 years. If a new student aged 22 joins the group, what will be the new average age if there were originally 15 students?
  1. 20.5
  2. 20.6
  3. 20.7
  4. 20.8

Questions & Step-by-Step Solutions

A group of students has an average age of 20 years. If a new student aged 22 joins the group, what will be the new average age if there were originally 15 students?
  • Step 1: Find the total age of the original group of students. Multiply the average age (20 years) by the number of students (15). So, 20 * 15 = 300.
  • Step 2: Add the age of the new student (22 years) to the total age. So, 300 + 22 = 322.
  • Step 3: Count the new total number of students. The original group had 15 students, and now there is 1 new student, making it 15 + 1 = 16 students.
  • Step 4: Calculate the new average age by dividing the new total age (322) by the new total number of students (16). So, 322 / 16 = 20.125.
  • Step 5: Round the new average age to one decimal place. 20.125 rounds to 20.1.
  • Average Calculation – Understanding how to calculate the average by summing total values and dividing by the number of items.
  • Impact of New Data – Recognizing how the addition of new data (in this case, a new student) affects the overall average.
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