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1. Statistics 1 1 Introducing z-scores & the normal distribution
Z-scores & the normal distribution are used with data that is:
Continuous? Use real limits
Interval or Ratio level? Use M, SS, ?, & ?2
2. Statistics 1 2 Frequency distributions & relative frequencies:
X = levels or values of the variable.
f = observed data.
relative f = f/n.
Relative frequency: the proportion of observations in a given X interval.
.36 or 36% of the observations are in the X=3 interval (2.5-3.5).
3. Statistics 1 3 Relative frequency: the probability of observing X in a given interval. p(3) = .36 and p(2.5<X<3.5)=.36 Probability of observing an X value = its relative frequency. Probability of observing an X above/below a particular score = the sum of the probabilities above/below the interval that contains X.