SDS 306 Lecture Notes - Lecture 12: Standard Deviation, Unimodality, Probability Plot
4 Feb 2017
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How are shape, center, and spread affected when 74 is subtracted from all values: shape and spread are unaffected, center is shifted by 74. When we multiply (or divide) all the data values by a constant, All measures of position and all measures of spread are multiplied (or divided) by that same constant. The mean and standard deviation in the men"s combined event at the olympics were 168. 93 seconds and 2. 90 seconds, respectively. If the times are converted to minutes, what will be the new mean and standard deviation: mean: 168. 93 / 60 = 2. 816 minutes, standard deviation: 2. 90 / 60 = 0. 048 minute. Subtract the mean -> y y . Divide by the standard deviation -> s s = The shape of the distribution does not change. Changes the center by making the mean 0. Changes the spread by making the standard deviation 1. A histogram will work, but there is an alternative method.
