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Stats - Chapter 3

statistics

TermDefinition
statistic sample
parameter population
mean don't use if you have outliers
median use if outliers
mode use if you have nominal/ordinal data
sample statistic (x bar)
population greek mu
affects mean unusually large or small data values (outliers)
mode types none, one, two, many
midrange (lowest dv+ highest dv)/2
raw/grouped use 1 var
modal class the class with the highest frequency
weighted mean x= L1 f=L2
range highest d.v. - lowest d.v.
standard deviation the square root of the variance
(s)tandard deviation 1 var stats
(s^2)ample variance s(all decimals) then ^2
what is consistent most data in one class
CVAR (s/x)x100 = ?%
higher CVAR % higher variation
range rule of thumb formula s=range/4
range rule of thumb rules the distribution is unimodal and roughly symmetric when you don't have raw data
use to find lowest/highest value in data set x (+/-) 2s
Chebyshev's theorem 1- (1/k^2) = ? x 100 = ?%
Chebyshev's rules "at least" any shape graph
follow to find percentage of values that fall between two values step one: find "k" step two: find %
find "k" k= d/s or 1-(1/(k^2))=%
empirical rule rules only normal(bell-shaped) distribution
empirical rule table 1=68% 2=95% 3=99.7%
percentile (((# of values below X)+0.5)/total # of values) x 100= ?%
c(position) =(n x p)/100 n-sample size p=rank
c rules If 'c' is not whole #, round up to the next whole number If 'c' is a whole #, use the value halfway between the "c" and "c+1" values
interquartile range IQR = Q3 - Q1
Q2 median of data set
Q1 P25
Q3 P75
measure position outlier(s) <Q1 - 1.5(IQR) >Q3 + 1.5(IQR)
boxplots min, Q1, MD, Q3, max
Created by: ammorale
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