What is the difference between mean and weighted mean?

What is the difference between mean and weighted mean?

The mean is the average of a set of numbers, while the weighted mean accounts for the importance of each number.

Can you give me an example of how to calculate a weighted mean?

Sure! If you have scores of 80, 90, and 70 with weights of 1, 2, and 1 respectively, the weighted mean is (801 + 902 + 70*1) / (1+2+1) = 85.

Why would I use a weighted mean instead of a regular mean?

You would use a weighted mean when some values are more significant than others, like in grading systems or surveys.

Are there any situations where the mean and weighted mean would be the same?

Yes, if all weights are equal, the weighted mean will be the same as the regular mean.