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In a class of 40 students, the average height is 150 cm. If 10 new students with

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Question: In a class of 40 students, the average height is 150 cm. If 10 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: 154

Solution: 

Total height of 40 students = 40 * 150 = 6000 cm. Total height of 10 new students = 10 * 160 = 1600 cm. New total height = 6000 + 1600 = 7600 cm. New average = 7600 / 50 = 152 cm.

In a class of 40 students, the average height is 150 cm. If 10 new students with

Practice Questions

Q1
In a class of 40 students, the average height is 150 cm. If 10 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

In a class of 40 students, the average height is 150 cm. If 10 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 40 students. Multiply the average height (150 cm) by the number of students (40). So, 150 cm * 40 = 6000 cm.
  • Step 2: Calculate the total height of the 10 new students. Multiply their average height (160 cm) by the number of new students (10). So, 160 cm * 10 = 1600 cm.
  • Step 3: Add the total height of the original students (6000 cm) to the total height of the new students (1600 cm). So, 6000 cm + 1600 cm = 7600 cm.
  • Step 4: Calculate the new total number of students. Add the original 40 students to the 10 new students. So, 40 + 10 = 50 students.
  • Step 5: Calculate the new average height. Divide the new total height (7600 cm) by the new total number of students (50). So, 7600 cm / 50 = 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 that the average height changes when new groups of students with different averages are added.
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