MHB Sample & Population Variance & SD Review

  • Thread starter Thread starter nickar1172
  • Start date Start date
  • Tags Tags
    population
AI Thread Summary
When calculating standard deviation (SD) and variance for a given sample of values, it's essential to use the sample formulas rather than the population formulas. Since the data provided is a sample, the sample SD and variance should be calculated to reflect the characteristics of that specific subset. The distinction is crucial because population calculations assume access to the entire data set, which is not the case here. Thus, the correct approach is to focus solely on the sample data for these calculations. Understanding this difference is vital for accurate statistical analysis.
nickar1172
Messages
20
Reaction score
0
Reviewing for finals when given a sample of a 8 values {1,2,3,4,5,6,7,8} , when solving for the SD and the variance do I solve for the population variance and SD OR since the question states that it is a sample you solve for the sample SD and variance
 
Mathematics news on Phys.org
Tacking for granted that SD stand for standard deviation, since you only have a sample there is no way for you to evaluate the SD/variance of the whole population.

Therefore you solve the SD/variance for the sample only.
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Back
Top