Question
Find the standard deviation of the following data
(rounded off to two decimal places). 5, 3, 4, 7Solution
ATQ, Given observation is 5,3,4,7 Mean = (3+4+5+7)/4 = 19/4 = 4.75 Standard Deviation by The Actual Mean Method σ = √(∑(x−¯x) ( x − x ¯ ) 2 /n), where n = total number of observations. [(3 - 4.75)2 + (4 - 4.75)2 + (5 - 4.75)2 + (7 - 4.75)2 ]/4 [(1.75)2 + (0.75)2 + (0.25)2 + (2.25)2 ]/4 (3.0625 + 0.5625 + 0.0625 + 5.0625)/4 = 2.1875 √2.1875 1.4790 or 1.478
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