Variance and standard deviation for the following data 45 60 62 60 50

1.	Variance and standard deviation for the following data 45 60 62 60 50 65 58 68 44 48
Answer» ANSWER: Variance = 73.55 Standard deviation = 8.576 Step-by-step EXPLANATION: We are the following data ; X X - $Xbar$ $(X-Xbar)^{2}$ 45 45 - 56 = -11 121 60 60 - 56 = 4 16 62 62 - 56 = 6 36 60 60 - 56 = 4 16 50 50 - 56 = -6 36 65 65 - 56 = 9 81 58 58 - 56 = 2 4 68 68 - 56 = 12 144 44 44 - 56 = -12 144 48 48 - 56 = -8 64 Firstly, we will calculate the mean of above data; Mean = $\frac{\sum X}{n}$ = $\frac{45+60+62+60+50+65+58+68+44+48}{10}$ = $\frac{560}{10}$ = 56 Variance formula = $\frac{\sum (X-Xbar)^{2} }{n-1}$ = $\frac{662}{10-1}$ = 73.55 Standard deviation = $\sqrt{Variance}$ = $\sqrt{73.55}$ = 8.576