Location Statistic Pdf For Free

Measures of location describe the central tendency of the data. They include the mean, median and mode. Mean or Average. The (arithmetic) mean, or average, of n observations (pronounced ?x bar?) is simply the sum of the observations divided by the number of observations; thus: ?x=SumofallsamplevaluesSamplesize=?xin.

Measures of location summarize a list of numbers by a "typical" value. The three most common measures of location are the mean, the median, and the mode. The mean is the sum of the values, divided by the number of values. It has the smallest possible sum of squared differences from members of the list.

Measures of location describe the central tendency of the data. They include the mean, median and mode. In this equation, xi represents the individual sample values and ?xi their sum. The Greek letter '?' (sigma) is the Greek capital 'S' and stands for 'sum'.

The common measures of location are quartiles and percentiles. Previously, we learned that the median is a number that measures the ?center? of the data. But the median can also be thought of as a measure of location because the median is the ?middle value? of a set of data.

The median is the most appropriate measure of location for an ordinal variable. A running median is used for smoothing data. Running means are still sensitive to outlying values, so if there are a few very divergent values in the data set, it is better to use running medians.

Distribution (Location, Spread and Shape) ParameterNumericalGraphicalLocationmean medianscatter plot box plot histogramSpreadvariance range inter-quartile rangebox plot histogramShapeskewness kurtosisbox plot histogram probability plot