=stdev(...) will return the N-1 weighted sample standard deviation. =stdevp(...) will return the N weighted population standard deviation.
The weighted mean is simply the arithmetic mean; however, certain value that occur several times are taken into account. See an example http://financial-dictionary.thefreedictionary.com/weighted+average
Geometric mean
With a good sample, the sample mean gets closer to the population mean.
Arithmatic Mean
The weighted arithmetic mean is used, if one wants to combine average values from samples of the same population with different sample sizes: : The weights wi represent the bounds of the partial sample. In other applications they represent a measure for the reliability of the influence upon the mean by respective values. rhinostar
=stdev(...) will return the N-1 weighted sample standard deviation. =stdevp(...) will return the N weighted population standard deviation.
The arithmetic mean is a weighted mean where each observation is given the same weight.
A weighted mean is when some values contribute more than others. In order to calculate weighted mean multiply each weight by its value, add those and then divide by the sum of the weights.
The weighted mean is simply the arithmetic mean; however, certain value that occur several times are taken into account. See an example http://financial-dictionary.thefreedictionary.com/weighted+average
Geometric mean
The grand mean can only be calculated if the three samples are of equal size. In this case, the grand mean is the mean of the three sample means. In this case, it would be (10+20+15)/3 = 15. However, in the sample sizes are not equal you must take the weighted mean. One option would be to assign, to each of the three means, an importance that reflects its sample size. So, if in the above example, the sample sizes were a, b and c the grand mean would be (10a + 20b + 15c)/(a+b+c) It is easy to show that the grand mean becomes the mean of the three sample means when a = b = c.
The arithmetic mean and the weighted mean are used in different situations. The arithmetic mean is used in frequencies as a general average. The weighted mean is used when different factors contribute to some kind of total for example with weighted index numbers. It is not a matter of accuracy it involves using the right mean in the right situation. Almost always (if not always) a question will specify which mean to use.
A Chip Company claims that there is 32 oz in every bag of chips with a specified population standard deviation of 1.5. A sample of 40 bags where weighted with an sample mean of 31.4. A consumer feels that this less than what the company claims.H1: μ
"Weighted mean" is the average calculated by taking into account not only the frequencies of the variables but also some other factors such as their variance.
With a good sample, the sample mean gets closer to the population mean.
Arithmatic Mean