BIT 2405 Lecture Notes - Lecture 4: Standard Deviation, Squared Deviations From The Mean, Variance

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Common characteristics of the population: measures of location, mode, median, mean, measure of variability, range, sample variance, standard deviation. Measures of location: mode, measurement that appears with the greatest frequency, advantage, only measure of central tendency that can be used for nominal/qualitative data. L(m) = (n + 1)/2: calculate the median. If n is odd, then (n + 1)/2 is a whole number and the median is the ((n. If n is even, then (n + 1)/2 is a fraction and the median is the average of the (n/2)th and the ((n/2)+1)th ordered observations: there can only be one median for each data set. Suppose we have a sample of n observations, denoted by x1, x2, xn then the sample mean is calculated as. Measures of variability: want to measure variability or spread of the distribution, want to measure spread/variability around the center of the data, numerical measures are, range, not very informative.

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