Explanation It is more feasible to describe the variation of a distribution by a single number instead of a five-number summary. The most commonly used single number measure of a variation is standard deviation of a distribution. It is a measure of how far the data values are spread around the mean value of a distribution. Process of calculating the standard deviation of a distribution is as follows: Step 1 : Calculate the mean of a data set. Then compute the deviation of every data value from the mean by subtracting mean from the data value. Deviation from mean = data value − mean ... (for every data value) Step 2 : Find the squares of all the deviations from mean. Step 3 : Add all the squares of deviations from the mean. Step 4 : Divide this sum by the total number of data values minus 1. Step 5 : The standard deviation is the square root this quotient. Standard deviation = sum of ( deviations from the mean ) 2 total number of data values − 1 Calculation: i) Step 1 : Mean of the data set = 2 + 3 + 4 + 4 + 6 5 = 19 5 = 3.8 Deviations of the data values from the mean: 1. 2 − 3.8 = − 1.8 2. 3 − 3.8 = − 0.8 3...

6th Edition

ISBN: 8220100802713

Author: Briggs

Publisher: PEARSON

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To describe:

The process of calculating a standard deviation and explain with given examples.