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29 Cards in this Set

  • Front
  • Back
central tendency
most scores tend to fall at the center of a distribution
characteristics of a good measure of central tendency
- similar to a lot of scores
- near the middle of the range
- should represent each score equally
mode (unimodal, multimodal)
most frequent score
- useful is Dv is nominal
- uni=1 multi=more than one
median
- geometric center
- splits distribution in half
- for odd # of scores= (n+1)/2=location of median
- for even # of scores= (n+2)/2=location of median
mean
- average of all scores in a distribution

Ex/n

- best measure of central tendency
- mean takes into account each individual score
- mean is mathematical center of a set of data
sample mean
- best estimate of population mean
- positive deviations from the mean cancel negative deviations from the mean
mean centering
- subtracting the mean from each score
E(x-mean)= 0
unskewed (normal) distribution
- parabola
skewed
- if you skew a distribution, you have one prominent tail
- skewed- hump in one direction, tail in another
positively skewed distribution
- mean>median>mode
- hump on left side, tail on right
negatively skewed distribution
- mean<median<mode
- hump on right, tail on left
2 main points of statistics
- central tendency
- variability- measures the spread of a distribution
4 main measures of variability
- range
- sum of squares
- standard deviation
- variance
range
highest - lowest
sum of squares
- measures total variance; sum of square deviations from the mean

SS= E(x-mean)^2
standard deviation
- measures average diff bw any score and the mean; square root of variance
variance
- measures average variability; average of sum of squared deviations from mean

S^2= SS/n
z score
distance bw a raw score and the mean, in standard deviation
positive z scores
tell u the raw score is above the mean
negative z scores
tell u the raw score is below the mean
z score of 0
tells u the raw score is the mean
sampling error
diff bw population mean and sample mean
- sample mean is the best unbiased estimate of the population mean bc it is never consistenly greater than or less than the population mean
- sampling error is not bad, it is expected to happen
degrees of freedom
the number of scores that can vary randomly in a sample
sampling distribution
a collection of a statistic taken from all samples in a population of size n
sampling distribution of the mean
a collection of all sample means of a certain sample size taken from a population
central limit theorem
as n --> inifinity (or N), the sampling distribution of the mean approximates a normal distribution
characteristics of the sampling distribution of the mean
- mean is equal to population mean
- standard deviation is the standard error of the estimate
confidence interval
- a range around the sample mean where we are pretty sure a population mean lies
standard error of the mean
measures the average deviation of the population mean and a sample size n