Math Is Fun Forum

Ritchie

Guest

working the average of uneven credits

Hello
can someone help me with working out the average of my results please.
i have:
56%          20credits
57%          20credits
56%          20credits
55%          10credits
73%          10credits
55%          20credits
69%          20credits

i cant do the basic, add them all and divide by the 7, which i could do if they were all even weighted.
how do i work out the average for my results?

Cheers,
Ritchie

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: working the average of uneven credits

Multiply each score by the amount of credits that it's associated with. Then add all the "credit-scores" and divide by the total number of credits.

I get 7140 ÷ 120 = 59.5% as your overall average.

Edit: In this case, there's a slightly easier way to do it.
Think of the two 10-credit marks as being combined into a new 20-credit unit. The mark for that unit would be the average of the two (64%).
Now you have 6 units all with equal weighting, and so you can find the average as normal.

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Why did the vector cross the road?
It wanted to be normal.

Ritchie

Guest

Re: working the average of uneven credits

AHH
i hope thats right. if thats the case then that should be rounded up to 60%
i.e. a 2:1 result for my second year of my degree

cheers, really appriciate your help

if anyone would like to add or correct if they feel that is wrong please let me know. i want to be sure on this.

Ritchie

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: working the average of uneven credits

He's right!!
(56 + 56 + 57 + 57 + 56 + 56 + 55 + 73 + 55 + 55 + 69 + 69) / 12 = 59.5

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