question archive If the given data is the entire population then: ##color(white)("XXX")sigma_"pop"^2 = 1
Subject:StatisticsPrice: Bought3
If the given data is the entire population then: ##color(white)("XXX")sigma_"pop"^2 = 1.62; sigma_"pop"=1.27## If the given data is a sample of the population then ##color(white)("XXX")sigma_"sample"^2 = 1.80; sigma_"sample"=1.34##
To find the variance (##sigma_"pop"^2##) and standard deviation (##sigma_"pop"##) of a population
If the data represents only a sample extracted from a larger population then you need to find the sample variance (##sigma_"sample"^2##) and sample standard deviation (##sigma_"sample"##). The process for this is identical except in step 5 you need to divide by ##1## less than the sample size (instead of the number of sample values) to get the variance.
It would be unusual to to all of this by hand. Here's what it would look like in a spreadsheet: