Question 1 Report
x12345f21212 x 1 2 3 4 5 f 2 1 2 1 2
Find the variance of the frequency distribution above
Answer Details
xffx¯x?x(¯x?x)2f(¯x?x)2122?248212?111326000414111221024882418 x f f x x ¯ ? x ( x ¯ ? x ) 2 f ( x ¯ ? x ) 2 1 2 2 ? 2 4 8 2 1 2 ? 1 1 1 3 2 6 0 0 0 4 1 4 1 1 1 2 2 10 2 4 8 8 24 18 x = ?fx?f ? f x ? f = 248 24 8 = 3 Variance (62) = ?f(¯x?x)2?f ? f ( x ¯ ? x ) 2 ? f = 188 18 8 = 94
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