Dear student xi fi xi-x¯ xi-x¯2 fixi-x¯2 4 3 4-14=-10 100 300 8 5 8-14=-6 36 180 11 9 11-14=-3 9 81 17 5 17-14=3 9 45 20 4 20-14=6 36 144 24 3 24-14=10 100 300 32 1 32-14=18 324 324 30 ∑fixi-x¯2=1374 Varianceσ2=∑fixi-x¯2∑fi=137430=45 8Standard deviation(σ)=45 8=6 76 Regards

28th sum pls

Dear student

x_i	f_i	$(x_{i} - \bar{x})$	${(x_{i} - \bar{x})}^{2}$	$f_{i} {(x_{i} - \bar{x})}^{2}$
4	3	4-14=-10	100	300
8	5	8-14=-6	36	180
11	9	11-14=-3	9	81
17	5	17-14=3	9	45
20	4	20-14=6	36	144
24	3	24-14=10	100	300
32	1	32-14=18	324	324
	30			$\sum_{}^{} f_{i} {(x_{i} - \bar{x})}^{2}$ =1374

Variance (σ^{2}) = \frac{\sum_{}^{} f_{i} {(x_{i} - \bar{x})}^{2}}{\sum_{}^{} f_{i}} = \frac{1374}{30} = 45.8 Standard deviation (σ) = \sqrt{45.8} = 6.76

Regards

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