Calculating an Average

[sophi]

Hypothetical:
A system grades a position in rank based on the average of 12 review scores.
Scores range from 1 to 5.
System states the top rank is achieved with a 4.8 average.
Given 9 reviews scored 5, and 3 reviews scored 4.
Would the average score qualify for the top rank?

 

[pka]

Hypothetical: A system grades a position in rank based on the average of 12 review scores.
Scores range from 1 to 5. System states the top rank is achieved with a 4.8 average.
Given 9 reviews scored 5, and 3 reviews scored 4. Would the average score qualify for the top rank?

What is \(\dfrac{9\cdot 5+3\cdot 4}{9+3}=~?\)

 

[sophi]

Thanks for equation- but I am just looking for a YES or NO answer.

 

[tkhunny]

Please do the arithmetic. You MUST be able to do it.

2 multiplications.
2 additions.
1 division.

Go! Show us your result, then answer the question with "yes" or "no".

 

[HallsofIvy]

Thanks for equation- but I am just looking for a YES or NO answer.

I'm not sure now if your difficulty is with arithmetic or reading. If you read the introductory information for this site, you should have seen that people help with problems like this, not do them for you.

 

[sophi]

I’ve done the calculation.
This question is not about how to calculate, but about how the answer should be recognized given the above information. It’s a technicality problem — Would the answer be 4.75 or 4.8?

 

[tkhunny]

How can I KNOW you've done the calculation?
Why do you doubt your result?
Did anyone tell you to round to only one decimal place?
If you get 4.75, and the lower limit is 4.8, what is your conclusion?

 

[sophi]

I’m not a student. I am attempting to solve a disagreement with another. I’m just looking for the answer from a math “expert”.

Mathematically ...

Would it be correct to calculate and round final answer to the tenth decimal (4.8) since the number for qualifying rank was presented as a number to the tenth decimal?
- OR -
Would it be correct to calculate and present the entire number (4.75) even though the number for qualifying rank was not presented to the hundredth decimal (4.80).

System didn’t not specify to which decimal average should be calculated - only stated an average score of 4.8 qualifies for top rank (not an average score of 4.80). Given this information - would you, as a math “expert”, determine that the top rank was or was not achieved?

 

[Dr.Peterson]

We've been waiting for you to be explicit about your question, showing what you are thinking. Thanks.

The mathematical answer is, no. The number 4.75 is less than 4.8, so it has not reached the threshold.

You are thinking that if the result rounded to the nearest tenth is 4.8 (the threshold), then you can say you have reached the threshold. Mathematically, you have not.

It's possible that someone could make that rule; but then they would have to say it explicitly. There is no general rule that you can do it. What you need to do is to ask an authorized interpreter of the rule how they interpret it. It's not a mathematical issue, but a legal one.

In my mind, rounding would be like saying that anyone who reaches the security fence will be arrested; then saying that because I am only one step outside the fence, I should be arrested. No; I'm still outside. (But if a law said that anyone close enough to touch the fence was in violation, then they could arrest me.)

 

[sophi]

I'm not sure now if your difficulty is with arithmetic or reading. If you read the introductory information for this site, you should have seen that people help with problems like this, not do them for you.

My only difficulty is understanding why you are making derogatory comments toward someone asking for help.

 

[Steven G]

It is not a math expert who decides how to round.
For sales tax, the county/state decides how to round.
In designing a building an engineer decides how to round.
Mathematicians know how to round but do not necessarily know what position to round to.

To be extremely clear. If an engineer is designing a building they would have to decide the accuracy so the building does not fall!

 

[sophi]

We've been waiting for you to be explicit about your question, showing what you are thinking. Thanks.

The mathematical answer is, no. The number 4.75 is less than 4.8, so it has not reached the threshold.

You are thinking that if the result rounded to the nearest tenth is 4.8 (the threshold), then you can say you have reached the threshold. Mathematically, you have not.

It's possible that someone could make that rule; but then they would have to say it explicitly. There is no general rule that you can do it. What you need to do is to ask an authorized interpreter of the rule how they interpret it. It's not a mathematical issue, but a legal one.

In my mind, rounding would be like saying that anyone who reaches the security fence will be arrested; then saying that because I am only one step outside the fence, I should be arrested. No; I'm still outside.

THANK YOU!!!!

 

[sophi]

I'm not sure now if your difficulty is with arithmetic or reading. If you read the introductory information for this site, you should have seen that people help with problems like this, not do them for you.

"If you read the introductory information for this site, you should have seen that it says "Be Nice"

 

[pka]

I’m not a student. I am attempting to solve a disagreement with another. I’m just looking for the answer from a math “expert”.

This site is designed for students.
If you need help to to basic arithmetic, I suggest you pay for professional help.