AP Stat Unit 2: Measure of Center, Shape, Spread, and Unusual Characteristics(Outliers)

numerical data

data which can be written in numerical form

mean

an average of n numbers computed by adding some function of the numbers and dividing by some function of n

median

relating to or situated in or extending toward the middle

mode

the most frequent value of a random variable

trimmed mean

the mean of the data values left after "trimming" a specified percentage of the smallest and largest data values from the data set

resistant

incapable of being affected.

quartile

A division of the total into four intervals, each one representing one-fourth of the total.

percentile

(statistics) any of the 99 numbered points that divide an ordered set of scores into 100 parts each of which contains one-hundredth of the total

fence

the barriers that stop (Q +/- 1.5 IQR)

outlier

an extreme deviation from the mean

Standard Deviation

the square root of the variance

Varience

sqaure all the numbers in the data set and get a total, then divide by the amount of numbers and minus the mean squared to give you your varience.

Range

the limits of the values a function can take

linear transformation

when you multiply, divide, add, or subtract a constant from each score in a distribution. Changes the mean and/or standard deviation

linear combination

Method of solving a system of equations where first you multiply then add to eliminate a variable.

Boxplot

displays the 5-number summary as a central box with whiskers that extend to the non-outlying data values

Comparative Boxplot

A diagram that includes more than one boxplot using the same scale; allows the reader to find similarities and differences between data sets.

degrees of freedom

The number of individual scores that can vary without changing the sample mean. Statistically written as 'N-1' where N represents the number of subjects.

density curve

a curve with area exactly 1 underneath it whose shape describes the overall pattern of a distribution.

z-score

in a normal distribution it tells you how far a number is above or below mean in terms of standard deviations.

chebyshev's rule

for any number k >_ 1, at least 100(1-1/k squared)% of the observations in any data set are within k standard deviations of the mean; the percentage value is typically conservative in that the actual percentages often considerably exceed the stated lower

normal curve

a symmetrical curve representing the normal distribution

empirical rule

The rules gives the approximate % of observations w/in 1 standard deviation (68%), 2 standard deviations (95%) and 3 standard deviations (99.7%) of the mean when the histogram is well approx. by a normal curve