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A class has 20 students with an average height of 150 cm. If one student leaves

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Question: A class has 20 students with an average height of 150 cm. If one student leaves and the average height becomes 148 cm, what is the height of the student who left?

Options:

  1. 160 cm
  2. 150 cm
  3. 140 cm
  4. 130 cm

Correct Answer: 160 cm

Solution: 

Total height of 20 students = 20 * 150 = 3000 cm. Total height of 19 students = 19 * 148 = 2812 cm. Height of the student who left = 3000 - 2812 = 188 cm.

A class has 20 students with an average height of 150 cm. If one student leaves

Practice Questions

Q1
A class has 20 students with an average height of 150 cm. If one student leaves and the average height becomes 148 cm, what is the height of the student who left?
  1. 160 cm
  2. 150 cm
  3. 140 cm
  4. 130 cm

Questions & Step-by-Step Solutions

A class has 20 students with an average height of 150 cm. If one student leaves and the average height becomes 148 cm, what is the height of the student who left?
  • Step 1: Calculate the total height of all 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 remaining 19 students after one student leaves. Multiply the new average height (148 cm) by the number of remaining students (19). Total height of 19 students = 19 * 148 = 2812 cm.
  • Step 3: Find the height of the student who left. Subtract the total height of the 19 students (2812 cm) from the total height of the original 20 students (3000 cm). Height of the student who left = 3000 - 2812 = 188 cm.
  • Average Calculation – Understanding how to calculate the average height and how it changes when a student leaves.
  • Total Height Calculation – Calculating the total height of students based on the average and the number of students.
  • Difference Calculation – Finding the difference in total height before and after a student leaves to determine that student's height.
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