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15 Cards in this Set

  • Front
  • Back

X=

Random variable.


Represents sample data collected (e.g., age of patient at time of first disease


diagnosis, patient blood pressure)

Sub-indices (Xi)

Sub-index i represents ith observation of variable in the sample


N is total number of observations for a variable, so sub-index i can take values from 1,2,3,...n

Summation (Σ)

Represents sum of a group of values of a variable

Mean (X and μ)



X=sample average of data collected.


μ=population average is unknown

Standard deviation (s and σ)


Measure of variable dispersion (e.g., average dispersion about he mean)


s = sample standard deviation (SD)


σ= population SD Variance= s


2(sample) & σ 2 (population)

Graphical view


Histograms, Bar Charts, Stem & Leaf Plots,.

Numerical view



Mean, Median, Mode, Standard Deviation,

Mean:


What is the average level of the data observed?

Mode



: What is the most likely value of the data


observed?

Median:



What is the level with half of the observations


being less than that level?

Range


What is the difference of the extremes in the


possible values observed in the data?

Standard Deviation, Interquartile,


Range & Variance

What is the variability of the data?

Variance intuition

It is “average” of the squared distances with


respect to the mean

Standard deviation intuition:

It is the square root of the variance intuition, so it


is an approximate “average” absolute distances to the mean

Skewness

Skewness refers to the symmetry of the data.


The long tail reflects where the skewness


is happening (left skewness vs right skewness)