STATISTICS Flashcards
is a single value that attempts to describe a set of data by identifying the central position within that set of data.
A measure of central tendency
3 MEASURE OF CENTRAL TENDENCY
MEAN MEDIAN MODE
2 KING OF MEAN!
SAMPLE MEAN= x̄
AND
POPULATION MEAN = μ
BIMODAL MEANS
?
2 MODES
is a dispersion of a set of data point around the mean value
VARIANCE
THE SQUARE ROOT OF THE VARIANCE
STANDARD DEVIATION
WHAT IS USUALLY USED WHEN COMPARING DATA
COEFFICIENT OF VARIATION
VARIANCE FORMULAE
σ^2= nΣ(i=1) [(Xi-μ)^2/n] =POPULATION variance
s^2= nΣ(i=1) [(Xi-x̄)^2/(n-1)] =SAMPLE variance
Xi= observed/sample values n= total number of observations/sample
COEFFICIENT OF VARIATION FORMULA
population COV= σ/μ
Sample COV= s/x̄
STANDARD DEVIATION FORMULAE
σ= √(σ^2) = population Standard deviation
s= √(s^2) = sample standard deviation
characteristic of each of the 3 measure or variability
variance= most common in measuring data dispersion
standard deviation= most common in measuring variability for a single data set
coefficient of variabilirty= most common in comparing data
in measuring location of data, dviding order data into hundredths will give us the _____, while dividing ordered data in quarters will give us the ____
percentile ranking
quartile ranking
a number where certain percentages of scores fall below that number
PERCENTILE
FORMULA FOR THE PERCENTILE OF A VALUE IN A DATA SET
k= (x+ .5y)/n x100
x= the number of data values counting from the bottom of the data list up to but not including the data value for which you want to find the percentile.
y=the nunber of data values equal to the data of which you want to find the percentile
n= total number of data
how to solve of STANDARD DEVIATION IN YOUR CALCU?
MODE- STAT- (1-VAR) - INPT TABLE - AC
SHIFT - STAT - VAR - xσ