1D-1E

Standard Deviation Sentence Stem

“The context typically varies by SD from the mean of mean”

means are..

nonresistant

standard deviations are…

nonresistant

medians are…

resistant

Percentile

the pth percentile is the value that has p% of the data less than or equal to it.

Z-score formula

(stat-mean)/SD

Z-score sentence stem

“The context is z-score standard deviations above/below the mean”

Z-score

shows the position relative to other values in the distribution

Adding a contant: shape

same

Adding a constant: center

+constant

adding a constant: variability

same

subtracting a constant: shape

same

subtracting a constant: center

-constant

subtracting a constant: variability

same

multiply by a constant: shape

same

Multiply by a constant: center

x constant

Multiply by a constant: variability

x constant

Divide by a constant: shape

same

divide by a constant: center

/constant

divide by a constant: varibility

/constant

Standardizing a Distribution: shape

same

Standardizing a Distribution: mean

0

Standardizing a Distribution: SD

1