Content-Specific Tips I. Exploring Data? When you analyze one-variable data, always discuss shape, center, and spread.? Look for patterns in the data, and then for deviations from those patterns.? (a) If distribution is skewed right, then mean is greater than median. (b) If distribution is skewed left, then mean is less than median. Mean > median is not sufficient to show that a distribution is skewed right. Mean < median is not sufficient to show that a distribution is skewed left.?Don't confuse?standard deviation and variance. Know how transformations of a data set affect summary statistics. (a) Adding (or subtracting) the same positive number?k,?to (from) each element in a data set increases (decreases) the mean and median by?k.?The standard deviation and IQR do not change.
AP Stat Tips
Content-Specific Tips I. Exploring Data? When you analyze one-variable data, always discuss shape, center, and spread.? Look for patterns in the data, and then for deviations from those patterns.? (a) If distribution is skewed right, then mean is greater than median. (b) If distribution is skewed left, then mean is less than median. Mean > median is not sufficient to show that a distribution is skewed right. Mean < median is not sufficient to show that a distribution is skewed left.?Don't confuse?standard deviation and variance. Know how transformations of a data set affect summary statistics. (a) Adding (or subtracting) the same positive number?k,?to (from) each element in a data set increases (decreases) the mean and median by?k.?The standard deviation and IQR do not change.
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