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A class has 20 students with an average height of 150 cm. If 5 new students with

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Question: A class has 20 students with an average height of 150 cm. If 5 new students with an average height of 160 cm join, what is the new average height?

Options:

  1. 152
  2. 154
  3. 156
  4. 158

Correct Answer: 156

Solution: 

Total height of 20 students = 20 * 150 = 3000. Total height of 5 new students = 5 * 160 = 800. New total = 3000 + 800 = 3800. New average = 3800 / 25 = 152.

A class has 20 students with an average height of 150 cm. If 5 new students with

Practice Questions

Q1
A class has 20 students with an average height of 150 cm. If 5 new students with an average height of 160 cm join, what is the new average height?
  1. 152
  2. 154
  3. 156
  4. 158

Questions & Step-by-Step Solutions

A class has 20 students with an average height of 150 cm. If 5 new students with an average height of 160 cm join, what is the new average height?
  • Step 1: Calculate the total height of the original 20 students. Multiply the average height (150 cm) by the number of students (20). Total height = 20 * 150 = 3000 cm.
  • Step 2: Calculate the total height of the 5 new students. Multiply their average height (160 cm) by the number of new students (5). Total height = 5 * 160 = 800 cm.
  • Step 3: Add the total height of the original students (3000 cm) to the total height of the new students (800 cm) to find the new total height. New total height = 3000 + 800 = 3800 cm.
  • Step 4: Calculate the new total number of students. Add the original number of students (20) to the number of new students (5). New total number of students = 20 + 5 = 25.
  • Step 5: Calculate the new average height. Divide the new total height (3800 cm) by the new total number of students (25). New average height = 3800 / 25 = 152 cm.
  • Average Calculation – Understanding how to calculate the average height by summing total heights and dividing by the number of students.
  • Weighted Averages – Recognizing how the addition of new groups of data (students) affects the overall average.
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