Grace is looking at a report of her monthly cell-phone

Ответ:

x0katie15

16.01.2022

100

Step-by-step explanation:

The list represents the approximate number of megabytes of data Grace used each month.700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

Total number of observations = 12

$Mean = \frac{\text{Sum of all observations}}{\text{Total no. of observations}}$

$Mean = \frac{700+735+680+890+755+740+ 670+785+805+ 1050+820+750}{12}$

Mean = 781.666

So, $\bar{x}=781.666$

Standard deviation = $\sigma = \sqrt{\frac{\sum(x_i-{x})^2}{n}}$

So, $\sigma = \sqrt{\frac{(700-781.666)^2+(735-781.666)^2+(680-781.666)^2+(890-781.666)^2+(755-781.666)^2+(740-781.666)^2+(670-781.666)^2+(785-781.666)^2+(805-781.666)^2+(1050-781.666)^2+(820-781.666)^2+(750-781.666)^2}{12}}$

$\sigma = 100.36$

So, the standard deviation of the data round to the nearest whole number is 100

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