Normal Distribution

z-score

number of standard deviations away from the mean

positive z

data is above the mean

negative z

data is below mean

how to find z-score for normal distribution 

(value (x) - mean (mu) / standard deviation (sigma) 

what are the percentage trends of a normal distribution?

2.5, 14, 34, 34, 14, 2.5

values not significant

between mu - 2sigma and mu+2sigma

(mean - 2 SD away) and (mean + 2SD) 

what is probability in a continuous distribution represented by?

the area under the density curve

in a normal distribution describe mean, median, and mode

mean, median, and mode are equal

what defines the shape of a normal distribution, the center?

shape: standard deviation

center: mean

describe how to solve probabilities

1) draw a picture of normal distribution

2) shade area in question

3) calculate z-score 

4) find probability in statcrunch