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Question 41)           Arithmetic mean and standard deviation

 variable frequency x xf $x-\overline{x}$ $\left(x-\overline{x}{\right)}^{2}$ $\left(x-\overline{x}{\right)}^{2}$f 5-10 2 7.5 15 -13.55 183.6 367.2 10-15 9 12.5 112.5 -8.55 73.10 657.9 15-20 29 17.5 507.5 -3.55 12.6 365.4 20-25 54 22.5 1215 1.45 2.10 113.4 25-30 11 27.5 302.5 6.45 41.6 457.6 30-35 5 32.5 162.5 11.45 131.10 655.5 TOTAL 110 2315 2617

Arithmetic mean = $\overline{x}$ = total of fx/ total of f
2315/110
= 21.08
standard deviation =

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