Question

The weights of the nine athletes on the team were recorded by the coach, and the average weight was 78 kilograms. Two athletes whose weights were 73 kilograms and 81 kilograms left the team. Find the new average.

Answer 1

78.29 kilograms

Explanation:

Total weight = 9*78 = 702

702-73-81 = 548

548/7 = 78.29 kilograms

Answer 2

New average weight is 78.29 kilograms.

Explanation:

Definition:

Average is a single number that represents a set of numbers. It is also known as the mean. The average is calculated by adding up all the numbers in the set and then dividing by the number of numbers in the set.

In order to find the new average weight of the team after two athletes left, we can use the formula:

`\sf \textsf{Average} = \frac{\textsf{sum of weights of remaining athletes) }}{\textsf{(number of remaining athletes)}}`

In this case:

• Average weight of 9 athletes = 78 kilograms
• Two athletes whose weights were 73 kilograms, and 81 kilograms left the team.
• New average =?

Now,

The sum of weights of the remaining athletes is:

• = 78 kg * 9 - 73 kg - 81 kg
• = 702 kg - 73 kg - 81 kg
• = 548 kg

The number of remaining athletes is:

• 9 - 2 = 7

Substituting value of new sum weights and number of remaining athletes

`\sf \textsf{New average weight }=(548 kg )/(7 )\approx 78.29 kg`

So the new average weight of the team is approximately 78.29 kilograms.