Answer:
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
[tex]Mean = \frac{\text{Sum of all observations}}{\text{Total no. of observations}}[/tex]
[tex]Mean = \frac{700+735+680+890+755+740+ 670+785+805+ 1050+820+750}{12}[/tex]
[tex]Mean = 781.666[/tex]
So, [tex]\bar{x}=781.666[/tex]
Standard deviation = [tex]\sigma = \sqrt{\frac{\sum(x_i-{x})^2}{n}}[/tex]
So, [tex]\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}}[/tex]
[tex]\sigma = 100.36[/tex]
So, the standard deviation of the data round to the nearest whole number is 100
