What is a weighted average?

Answer 1

an average of a set of numbers that have been adjusted by the addition of a statistical value to allow for their relative importance in a data set.

Example:
Call Center stats
Average handel time of call: 6min
number of calls take 10
Harder to hit the 6min goal due to low amount of calls.

Wieght average takes the amount of calls offered, amount of calls recieved, and types of issue know to generate the calls.

Answer 2

Suppose that your teacher says the final exam counts as much as three
tests. Then if your scores are:

tests: 70, 80, 90 final: 100

your average will be just as if you got:

tests: 70, 80, 90, 100, 100, 100

70 + 80 + 90 + 100 + 100 + 100 540
average = ------------------------------ = --- = 90
6 6

If we want to calculate this directly, we can just multiply the final
score by 3 when we add them up, but we have to remember also to count
it three times in the denominator, not just divide by 4. You can do
this by writing it out this way:

score weight value
----- ------ -----
70 1 70
80 1 80
90 1 90
100 3 300
--- ---
6 540 --> average = 540/6 = 90

That is, you divide the sum of the weighted values by the sum of the
weights themselves.

A similar problem arises if you've calculated the average of some set
of things, and want to figure out the new average. It's natural to
want to just average the old average with the new value:

tests: 70, 80 average = (70 + 80)/2 = 75
new test: 90 new average = (75 + 90)/2 = 82.5 ?

But this is wrong, since the new average really is:

new average = (70 + 80 + 90)/3 = 240/3 = 80

What you have to do in this case is to weight the old average
proportionally to the number of scores it represents, since this
situation is just as if you had scores of 75, 75, and 90:

2 * 75 + 90 240
new average = ----------- = --- = 80
2 + 1 3

Now, in general, you can assign any weights you want, not necessarily
integers. Often we choose weights that add up to 1. In our first
example, we can say that each test counts for 1/6 of the grade, and
the final counts for 1/2 of the grade. Then we calculate this way:

score weight value
----- ------ -----
70 1/6 11.66
80 1/6 13.33
90 1/6 15
100 1/2 50
--- -----
1 89.99 --> average = 90/1 = 90

I hope that helps out.

Answer 3

A weighted average is similar to a "regular" average except all the various numbers involved are not counted the same.

Example: You got a 98 on a quiz and a 95 on a homework assignment. What's your average grade? Well, to do this, you'd simply add the two together (98+95) and divide by 2, giving you 96.5.

But suppose quizzes count more than homeworks. In the above, they're "equal" in weight. If quizzes are 40% of your grade and homeworks are another 15%, then you have to make some adjustments to the average.

This is where weighted average comes into play. It adjusts for the various "weights" to give you a more accurate average. FYI, this is what I have to do in order to calculate my students' final grades.

Answer 4

A weighted average is one that gives weight to some of the things that are being averaged. Thus an element with more "weight" would raise or lower the weighted average more than it would modify the regular average if every element counted for the same "weight".

Answer 5

It is an average in which each of the components is assigned a "weight" which determines its relative influence on the outcome. The most familiar weighted average is the grade point average, in which each "A" is weighed by 4, "B" by 3, etc. So if the number of A's is nA, the number of B's nB, the weighted average is

(nA*4+nB*3+nC*2+nD*1)/(4+3+2+1)

See http://en.wikipedia.org/wiki/Weighted_average

Answer 6

If the temperature was 30 degrees 3 days running and 35 degrees on the remaining 4 days of the week, then the weighted average temperature for the week would be ((30times 3) + (35 times 4))/7 =(90+140)/7=230/7=32.9 degrees.

Answer 7

A weighted average uses the proportional relevance of data in a sample, rather than treating all data equally.

If all the weights are equal, then this is equivalent to the mean or average.

Answer 8

when you take honors or AP courses, grades become weighted. in normal classes, an A is worth 4 points, a B 3 points, a C 2 points, etc. if you get all A's, you get a 4.0 GPA. In weighted classes, an A is worth 5 points, a B 4 points, a C 3 points, and so on. your GPA has an opportunity to be higher than what is regularly considered perfect. also, it rocks because if you get less than perfect grades, you still have a really good GPA. hope that makes sense.

ps, to calculate a GPA, just divide your total gpa by the number of classes you have

Answer 9

it's a way of computing an arithmetic mean of a set of numbers or distribution where some carry more weight than others. A great example is the way you have been graded at school, you would see your final grade is relying on 50% assignments, 20% quizzes, 10% participation, and 20% final exam.

Answer 10

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