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A group of 6 people has an average weight of 70 kg. If one person weighing 80 kg

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Question: A group of 6 people has an average weight of 70 kg. If one person weighing 80 kg leaves, what is the new average weight?

Options:

  1. 68
  2. 69
  3. 70
  4. 71

Correct Answer: 69

Solution: 

The total weight of the group is 6 * 70 = 420 kg. After the 80 kg person leaves, the total weight becomes 420 - 80 = 340 kg. The new average is 340 / 5 = 68 kg.

A group of 6 people has an average weight of 70 kg. If one person weighing 80 kg

Practice Questions

Q1
A group of 6 people has an average weight of 70 kg. If one person weighing 80 kg leaves, what is the new average weight?
  1. 68
  2. 69
  3. 70
  4. 71

Questions & Step-by-Step Solutions

A group of 6 people has an average weight of 70 kg. If one person weighing 80 kg leaves, what is the new average weight?
Correct Answer: 68 kg
  • Step 1: Calculate the total weight of the group. Since the average weight is 70 kg and there are 6 people, multiply 70 by 6. So, 70 * 6 = 420 kg.
  • Step 2: One person weighing 80 kg leaves the group. To find the new total weight, subtract 80 kg from the previous total weight. So, 420 kg - 80 kg = 340 kg.
  • Step 3: Now, there are 5 people left in the group. To find the new average weight, divide the new total weight (340 kg) by the number of people left (5). So, 340 kg / 5 = 68 kg.
  • Average Calculation – Understanding how to calculate the average by dividing the total weight by the number of people.
  • Total Weight Adjustment – Recognizing how the total weight changes when a member leaves the group.
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