Calculating Dataset Mean, Mode, Median, and Range

[raineym]

I have not had Statistics since the first time I went to college - 13 years ago, so...

I'm trying to create a Visual Basic program (VB2005) for an Intro to VB 2005 class Thesis project that calculates the following items out of a set of numbers:

• Mean
  
  • Arithmetic Mean
  • Weighted Arithmetic Mean
  • Geometric Mean
  • Harmonic Mean
  • Power Mean
  • Interquartile Mean
  • Quadratic Mean
  • Generalized (Power, Holder) Mean
• Mode
• Median
  
  • Standard Median
  • Weighted Median
• Range
  
  • Standard Range
  • Interquartile Range

Here is a list of test figures (the total number of figures will vary from job to job): { 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5 }

I have the calculations for all the Modes, Medians, and Ranges, and most of the Means, but I either do not have the calculations or understand the calculations for the following Means calculations:

• Weighted Mean
• Generalized (Power, Holder) Mean

If anyone is a Statistics master, please help!!!

[Harsh Gupta]

MathWorld can help you out!!