AP Statistics: Density Curves/Normal Distributions

Z-score

Z-score

Standardized location of a data piece using the standard deviation representing how many standard deviations a data piece is above (positive) or below (negative) the mean

Z-score equation

X (what we got)−(x-bar (what we expected)/Sx (standard deviation))

Mean and st. dev of normal curve

Mean=0 St.dev=1

Empirical rule

Important empirical rule percentages

To find the area under a curve

Normalcdf(Lower bound, Upper bound, Mean, Standard Deviation)

To find the interval given the area

Invnorm(Percentage, mean, standard deviation, section of the curve (right, left, or center))

Template/paper set up