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Stats Chapter 6


standardizing standardize to eliminate units; standardized values can be compared and combined even if the original variables have different units and magnitudes
standardized value a value found by subtracting the mean and dividing by the standard deviation
shifting adding a constant to each data value adds the same constant to the mean, the median, and the quartiles, but does not change the standard deviation or IQR
rescaling multiplying each data value by a constant multiplies both the measures of position (mean, median, and quartiles) and the measures of spread (standard deviation and IQR) by that constant
normal model family of models for unimodal, symmetric distributions
parameter a numerically valued attribute of a model
statistic a value calculated from data to summarize aspects of the data; mean, ybar, standard deviation are all statistics
z-score tells how many standard deviations a value is from the mean; have a mean of 0 and a standard deviation of 1
standard normal model normal model N(mean, sx)
nearly normal condition a distribution is nearly normal if it is unimodal and symmetric
68-95-99.7 rule in a normal model, 68% of the values fall within 1 SX, 95% within 2SX, and 99.7% within 3SX of the mean
normal percentile corresponding to a z-score gives the percentage of values in a standard normal distribution found at that z-score or below
normal probability plot helps assess whether a distribution of a data is approximately normal if the plot is nearly straight
Created by: 697421973