Solution
Step 1
Find the range
Range = largest value - smallest value
Range = 18-5 =13
Step 2
[tex]\begin{gathered} \text{Write an expression for the mean} \\ \bar{x}=\frac{\Sigma x}{n} \end{gathered}[/tex]Where Σx = 10 +10+5+12+18 = 55
n = 5
Step 2
Substitute in and find the mean
[tex]\bar{x}=\frac{55}{5}=11[/tex]Hence the mean = 11
Step 4
Write an expression for the standard deviation
[tex]\text{Standard deviation =}\sqrt[]{\frac{\Sigma|x-\bar{x|^2}}{n}}[/tex]Step 5
Draw up a table to help find the standard deviation
Hence substituting yields
[tex]\begin{gathered} sd=\sqrt[]{\frac{88}{5}} \\ sd=4.19524 \end{gathered}[/tex]The standard deviation approximately = 4.20 to the nearest hundredth.
