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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 will be the new average height?

Options:

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

Correct Answer: 156

Solution:

The total height of the original students is 40 * 150 = 6000 cm. The total height of the new students is 10 * 160 = 1600 cm. The new total height is 6000 + 1600 = 7600 cm. The new average height is 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 will be 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 will be the new average height?
  • Step 1: Calculate the total height of the original 40 students. Multiply the number of students (40) by their average height (150 cm). This gives you 40 * 150 = 6000 cm.
  • Step 2: Calculate the total height of the 10 new students. Multiply the number of new students (10) by their average height (160 cm). This gives you 10 * 160 = 1600 cm.
  • Step 3: Add the total height of the original students (6000 cm) to the total height of the new students (1600 cm). This gives you 6000 + 1600 = 7600 cm.
  • Step 4: Calculate the new total number of students. Add the original students (40) to the new students (10). This gives you 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). This gives you 7600 / 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 with different averages are added.
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