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population
a complete collection of all the units or elements that are of interest in a statistical study
sample
a portion of the population selected to represent the whole population
parameter
a numerical quanitity which sumarizes some characteristic of the population
statistic
a numerical quantitiy which sumarizes some characteristic of the sample
variable
a characteristic of the elements of a population
descriptive statistic
a class of methods for describing the characteristics of a set of numbers
inferential statistics
a class of methods for making valid inferences about an entire population based on results obtained in a sample
cumulative frequency
add up the number of scores occuring in the interval and all lower intervals
proportion
frequency / total number of scores in sample
cumulative proportion
cumulation frequency / n
cumulative percentage
cumulative proportion x 100
what side is frequency always on?
the ordinate or y-axis
negatively skewed
tail is on left. skewed left. freqency is low for low scores
positively skewed
tail is on right. skewed right. frequency is high for low scores.
sum of squares
subtract the mean from each score then square that. add up all the squares.
variance
SS/N sum of squares divided by total number of scores
standard deviation
square root of (SS/N)
what happens when the distribution of scores is symmetric
the mean and median will be equal
what happens when the distribution of scores is positively skewed
the mean will be larger than the median. the mean will be pulled upward away from teh center by the extremely high scores
what happens when the distribution of scores is negatively skewed
the mean will be pulled downward and will be lower than the median
z-score
(raw score - mean)/ stand. dev
z-score characteristics
1. the mean of a set of z-scores is 0. 2. the stand. dev. of a set of z-scores is 1. 3. the variance of a set of z-scores is 1. 4. the sum of squares of a se of z-scores = n.

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