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A class has 10 students with an average height of 150 cm. If 5 new students with

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Question: A class has 10 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 of the class?

Options:

  1. 154
  2. 155
  3. 156
  4. 157

Correct Answer: 156

Solution:

Total height of 10 students = 10 * 150 = 1500 cm. Total height of 5 new students = 5 * 160 = 800 cm. New total height = 1500 + 800 = 2300 cm. New average = 2300 / 15 = 153.33 cm.

A class has 10 students with an average height of 150 cm. If 5 new students with

Practice Questions

Q1
A class has 10 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 of the class?
  1. 154
  2. 155
  3. 156
  4. 157

Questions & Step-by-Step Solutions

A class has 10 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 of the class?
  • Step 1: Calculate the total height of the 10 students. Multiply the average height (150 cm) by the number of students (10). So, 10 * 150 = 1500 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). So, 5 * 160 = 800 cm.
  • Step 3: Add the total height of the 10 students and the total height of the 5 new students to find the new total height. So, 1500 cm + 800 cm = 2300 cm.
  • Step 4: Calculate the new average height of the class. Divide the new total height (2300 cm) by the new total number of students (15). So, 2300 cm / 15 = 153.33 cm.
  • Average Calculation – Understanding how to calculate the average height by summing total heights and dividing by the number of students.
  • Total Height Calculation – Calculating the total height of a group of students based on their average height.
  • Combining Groups – Adding the heights of two different groups of students to find a new average.
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