The standard deviation of the data is 100 if round to the nearest whole number.
It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
The list represents the approximate number of megabytes of data Grace used each month as shown in the table.
To find the standard deviation first we will find the mean:
The sum of the all data given = 9380
The mean X' = 9380/12 (total number of observation = 12)
Now subtract the mean from each sample value such as (X-X') and square it.
Find the sum of it.
The formula for the standard deviation is given:
[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]
Put the ∑(X-X')² = 120866.67 and n = 12
[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]
SD = 100.36 ≈ 100
Thus, the standard deviation of the data is 100 if round to the nearest whole number.
Learn more about the standard deviation here:
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