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In a class of 30 students, the average height is 160 cm. If the height of one st

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Question: In a class of 30 students, the average height is 160 cm. If the height of one student is 170 cm, what is the new average height after removing that student?

Options:

  1. 159 cm
  2. 160 cm
  3. 161 cm
  4. 162 cm

Correct Answer: 159 cm

Solution: 

Total height = 30 * 160 = 4800 cm. New total = 4800 - 170 = 4630 cm. New average = 4630 / 29 = 159.66 cm.

In a class of 30 students, the average height is 160 cm. If the height of one st

Practice Questions

Q1
In a class of 30 students, the average height is 160 cm. If the height of one student is 170 cm, what is the new average height after removing that student?
  1. 159 cm
  2. 160 cm
  3. 161 cm
  4. 162 cm

Questions & Step-by-Step Solutions

In a class of 30 students, the average height is 160 cm. If the height of one student is 170 cm, what is the new average height after removing that student?
  • Step 1: Calculate the total height of all 30 students by multiplying the average height by the number of students. Total height = 30 * 160 cm.
  • Step 2: Perform the multiplication: 30 * 160 = 4800 cm. This is the total height of all students.
  • Step 3: Remove the height of the student who is 170 cm tall from the total height. New total height = 4800 cm - 170 cm.
  • Step 4: Perform the subtraction: 4800 - 170 = 4630 cm. This is the new total height after removing the student.
  • Step 5: Calculate the new average height by dividing the new total height by the new number of students (29). New average height = 4630 cm / 29.
  • Step 6: Perform the division: 4630 / 29 = 159.66 cm. This is the new average height after removing the student.
  • Average Calculation – Understanding how to calculate the average height by dividing the total height by the number of students.
  • Impact of Removing a Value – Recognizing how removing a student's height affects the total height and the average.
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