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### 29 Cards in this Set

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 Central Tendency way in which quantitative data tend to cluster around some value Central Tendency single number closest to the center of distribution; represents all the data Average a single value that summarizes or represents the general significance of a set of unequal values Average Central Tendency Number/value Generic Quantitative Data set denotated by X , X , Xn Mean adding up the values and then dividing by the number of values Sample Mean observations only of sample data (common mean used) Population Mean Observations of every single item or unit of a population Factors of MEAN - uses all data - varies less then median and mode in repeated samples - used in computing other important statisticas - is unique and not neccessarily equal to any data value in the data set - effected by OUTLIERS and may not be appropriate for data sets conaining outliers (not resistant to OUTLIERS) Median the middle value of the observations ( values are in ascending order) Median if even number of observations exists, the median is the mean of the two middle values Factors of Median - used to find the center or middle value - used to determine whether a given data value falls above or below 50% - effected less then the mean by OUTLIERS Sample Mode Data value that occurs the most; may not be in the center (aka crude mode or model class) Unimodel 1 Mode Bimodel 1 Modes Multimodel several Modes No Mode data values only occur once Factors of MODE - most frequent value is saught - simplest "average" to find - can be used for group categorical data - isn't always unique Sample Mid-Range sum of smallest and largest data value divided by 2 Factors od MIDRANGE - not resistant to outliers - easy to compute - uses only 2 data values - less efficient to the mean Symmetrical Distribution all values of average (mean, median, mode) are the same value Skewed Distribution the mean shifts toward the direction of the skew (right and left skew) Positive Skew Right Skew; most common; mean to the right and is therefor larger then the median and mode (Mode, Median, then Mean) Negative Skew Left Skew; Mean is to the left (Mean, Median, then Mode) Sample Mean Formula write formula: Population Mean Formula write formula: Left Skewed Draw Skew Right Skewed Draw Skew Symmetrical Distribution Draw scale