Answer:
10.94
Explanation:
The standard deviation is calculated by using the following formula:
![s=\sqrt{(1)/(N-1)sum(xi -x)^2}](https://img.qammunity.org/2022/formulas/mathematics/college/wzde02b2h6eux2ohk82174amfrzi2r4765.png)
This means that N is the total number of cases you want to take into account, times the sum of x at the ith position - x squared.
In other words, the standard deviation in your example implies the following:
26 is the first value, so i = 1, 34 is the second value, so i = 2, 18 where i = 3, and so on and so forth, until you reach the end, which is 6 (so the initial value is 1 and the last one is 6).
You're doing a sum over an iteration of all the numbers in your sample.
So applying the sum of all of the numbers, it gives us the following:
![(26-28)^2+(34 - 28)^2+(18 - 28)^2 ... (41 - 28)^2](https://img.qammunity.org/2022/formulas/mathematics/college/hmjpnpfsv17rcllxw84sbq12w0956lpfpj.png)
![= (598)/(5) \\=119.6\\](https://img.qammunity.org/2022/formulas/mathematics/college/vaq5f6bfqrcwxhn8ur67h4qzey451i2kgo.png)
The sum of all of the numbers in your sample is equal to 119.6.
Substitute into the equation once again:
![s=√(119.6)](https://img.qammunity.org/2022/formulas/mathematics/college/s13jfk1l8nouxjj12kxdgytr7nc89owlmf.png)
Where the square root of 119.6 is 10.93617...
Rounded to two decimal places: 10.94