Calculate the standard deviation of the data set below. (7, 9, 10, 11, 13) The standard deviation is 4. The standard deviation is 2. The standard deviation is 10.
Accepted Solution
A:
Answer:"The standard deviation is 2"Step-by-step explanation:To get Standard Deviation (SD), we follow the steps shown below:We need to find the difference of each number from the mean and then square it. Then take the sum of all of these values. Then divide by the number of numbers. Then take square root of that.The mean is summing up all the numbers and dividing by the number of numbers. Hence, mean is [tex]\frac{7+9+10+11+13}{5}=10[/tex]Now, [tex](7-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2 +(13-10)^2\\=9+1+0+1+9\\=20[/tex]Then, [tex]\frac{20}{5}=4[/tex]Next, [tex]\sqrt{4} \\=2[/tex]So, the standard deviation is 2