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A group of students has an average height of 160 cm. If one student with a heigh

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Question: A group of students has an average height of 160 cm. If one student with a height of 170 cm leaves, what will be the new average height if the group size was 10?

Options:

  1. 158 cm
  2. 159 cm
  3. 160 cm
  4. 161 cm

Correct Answer: 159 cm

Solution: 

Total height = 160 * 10 = 1600 cm. New total = 1600 - 170 = 1430 cm. New average = 1430 / 9 = 158.89 cm, approximately 159 cm.

A group of students has an average height of 160 cm. If one student with a heigh

Practice Questions

Q1
A group of students has an average height of 160 cm. If one student with a height of 170 cm leaves, what will be the new average height if the group size was 10?
  1. 158 cm
  2. 159 cm
  3. 160 cm
  4. 161 cm

Questions & Step-by-Step Solutions

A group of students has an average height of 160 cm. If one student with a height of 170 cm leaves, what will be the new average height if the group size was 10?
  • Step 1: Calculate the total height of the group. Since the average height is 160 cm and there are 10 students, multiply 160 by 10. Total height = 160 * 10 = 1600 cm.
  • Step 2: Subtract the height of the student who leaves. The student is 170 cm tall, so subtract 170 from the total height. New total height = 1600 - 170 = 1430 cm.
  • Step 3: Calculate the new average height. Now there are 9 students left in the group. Divide the new total height by the new number of students. New average height = 1430 / 9 = 158.89 cm.
  • Step 4: Round the new average height to the nearest whole number. 158.89 cm is approximately 159 cm.
  • Average Calculation – Understanding how to calculate the average height by dividing the total height by the number of students.
  • Impact of Removing a Member – Recognizing how the removal of a member affects the total height and the average.
  • Basic Arithmetic Operations – Applying addition and subtraction to find new totals and averages.
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