Question 114498
First step, find the mean (average),
{{{A=(16+35+25+29+26+30)/6}}}
{{{A=26.83}}}
Next find the deviation of each value from the mean,
{{{d[1]=16-26.83=-10.83}}}
{{{d[2]=35-26.83=8.17}}}
{{{d[3]=25-26.83=-1.83}}}
{{{d[4]=29-26.83=2.17}}}
{{{d[5]=26-26.83=-0.83}}}
{{{d[6]=30-26.83=3.17}}}
Then square the deviations,
{{{d[1]^2=117.4}}}
{{{d[2]^2=66.7}}}
{{{d[3]^2=3.4}}}
{{{d[4]^2=4.7}}}
{{{d[5]^2=0.7}}}
{{{d[6]^2=10.0}}}
Sum the squares of deviation,
{{{Sum = 202.8}}}
Divide by the number of samples and take the square root,
{{{sigma = sqrt(202.8/6)}}}
{{{sigma = 5.8}}}