If the value of mean is 781.67, then the standard deviation will be 100. Then the correct option is C.
The complete question is given below.
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. 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
What is the standard deviation of the data? Round to the nearest whole number.
65
75
100
130
<h3>What is a standard deviation?</h3>
It is a metric for statistical information dispersion. The degree of spread indicates how much the result varies.
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan.
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
The mean of the data will be
Mean = (700 + 735 + 680 + ...... + 820 + 750) / 12
Mean = 781.67
Then the standard deviation will be
SD² = [(700 – 781.67)² + (735 – 781.67)² + ..... + (750 – 781.67)²] / 12
SD² = 10072.2222
SD = 100.36 ≈ 100
Then the correct option is C.
More about the standard deviation link is given below.
brainly.com/question/12402189
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