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A class has 10 boys and 15 girls. If the average height of boys is 150 cm and th

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Question: A class has 10 boys and 15 girls. If the average height of boys is 150 cm and that of girls is 145 cm, what is the average height of the class?

Options:

  1. 147 cm
  2. 148 cm
  3. 149 cm
  4. 150 cm

Correct Answer: 147 cm

Solution: 

Total height of boys = 10 * 150 = 1500 cm. Total height of girls = 15 * 145 = 2175 cm. Total height = 1500 + 2175 = 3675 cm. Average height = 3675 / 25 = 147 cm.

A class has 10 boys and 15 girls. If the average height of boys is 150 cm and th

Practice Questions

Q1
A class has 10 boys and 15 girls. If the average height of boys is 150 cm and that of girls is 145 cm, what is the average height of the class?
  1. 147 cm
  2. 148 cm
  3. 149 cm
  4. 150 cm

Questions & Step-by-Step Solutions

A class has 10 boys and 15 girls. If the average height of boys is 150 cm and that of girls is 145 cm, what is the average height of the class?
  • Step 1: Find the total height of the boys. Multiply the number of boys (10) by their average height (150 cm). This gives you 10 * 150 = 1500 cm.
  • Step 2: Find the total height of the girls. Multiply the number of girls (15) by their average height (145 cm). This gives you 15 * 145 = 2175 cm.
  • Step 3: Add the total height of boys and girls together. This gives you 1500 cm + 2175 cm = 3675 cm.
  • Step 4: Find the total number of students in the class. Add the number of boys (10) and girls (15) together. This gives you 10 + 15 = 25 students.
  • Step 5: Calculate the average height of the class. Divide the total height (3675 cm) by the total number of students (25). This gives you 3675 / 25 = 147 cm.
  • Average Calculation – Understanding how to calculate the average height by using the total height and the number of individuals.
  • Weighted Average – Recognizing that the average height of a group can be influenced by the number of individuals in each subgroup (boys and girls in this case).
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