# Stats 10

 What is the normal distribution? A family of curves, each defined by the standard deviation and mean (σ+µ)The differences are measured as standard deviations Why do the measures of central tendency all have the same value on the normal distribution? It is symmetrical, no matter the parameters, the normal distribution preserves its perfect bell shapeDifferent variances make it wider, different means make it shift in their direction What is the standard normal distribution? A type of standard distribution curve with a mean of 0Values on this curve are known as z scores What is suggested by the central limit theorem? Many naturally occurring variables will tend to fall close to the normal distribution How might one use a normal distribution curve to find the probability of an eventuality over a specific point? Draw a vertical line on the curve at the point Give the equation for converting a normal score into a z score This is the same formula for generating standard scores What are scores to the right and to the left of the z score referred to as? P(z) for right 1-P(z) for left How might one find the area between two values? Find the score for the highest value givenFind the score for the lowest value given Minus one by the other Eg:P(z<+.67)=.749P(z< -.67)=.251P(-.67