Question

The following data represents the number of blogs that a sample of students state they follow. 12,3,10,9,0,1,8,7,3,10,19

Answer 1

Standard deviation: 5.54

Step-by-step explanation:

In order to calculate the standard deviation of this dataset, we need to calculate the mean first.

The mean is given by:

$\bar{x}=\frac{1}{N}\sum x_i$

The data in this set are:

12,3,10,9,0,1,8,7,3,10,19

And the number of points is N = 11, so the mean is

$\bar x=\frac{1}{11}(12+3+10+9+0+1+8+7+3+10+19)=82$

Now we can calculate the standard deviation, given by

$\sigma = \sqrt{\frac{1}{N-1}\sum (x_i-\bar x)^2}$

Let's calculate the term $\sum (x_i-\bar x)^2$ first:

$\sum (x_i-\bar x)^2=\sum (x_i-7.46)^2=306.7$

And therefore, the standard deviation is:

$\sigma = \sqrt{\frac{1}{11-1}(306.7)}=5.54$

Learn more about mean and standard deviation:

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