A group of 8 people has an average weight of 70 kg. If 2 people weighing 80 kg e

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Question: A group of 8 people has an average weight of 70 kg. If 2 people weighing 80 kg each leave the group, what is the new average weight?

Options:

Correct Answer: 68

Solution:

Total weight of 8 people = 8 * 70 = 560 kg. Total weight after 2 people leave = 560 - 160 = 400 kg. New average = 400 / 6 = 66.67 kg.

A group of 8 people has an average weight of 70 kg. If 2 people weighing 80 kg each leave the group, what is the new average weight?

A group of 8 people has an average weight of 70 kg. If 2 people weighing 80 kg each leave the group, what is the new average weight?

Step 1: Calculate the total weight of the 8 people. Multiply the average weight (70 kg) by the number of people (8). Total weight = 70 kg * 8 = 560 kg.
Step 2: Calculate the total weight of the 2 people who are leaving. Each person weighs 80 kg, so for 2 people, the total weight = 80 kg * 2 = 160 kg.
Step 3: Subtract the total weight of the 2 people leaving from the original total weight. New total weight = 560 kg - 160 kg = 400 kg.
Step 4: Calculate the new average weight. There are now 6 people left in the group. New average = New total weight (400 kg) divided by the number of people left (6). New average = 400 kg / 6 = 66.67 kg.

Average Calculation – Understanding how to calculate the average weight by dividing the total weight by the number of individuals.
Total Weight Adjustment – Calculating the total weight before and after individuals leave the group.
Impact of Removing Individuals – Recognizing how the removal of individuals affects the overall average.