step 1 <span>compute the average: add the values and divide by 6 Average =(44+ 46+40+34+29+41)/6=39
step 2 </span><span>Compute the deviations from the average dev: (44-39)=5, </span>dev: (46-39)=7 dev: (40-39)=1 dev: (34-39)=-5 dev: (29-39)=-10 dev: (41-39)=2
step 3 <span>Square the deviations and add sum (dev^2): 5^2+7^2+1</span>^2+-5^2+-10^2+2^2 sum (dev^2): 25+49+1+25+100+4-----> 204
step 4 <span>Divide step #3 by the sample size=6 (typically you divide by sample size-1 to get the sample standard deviation, but you are assuming the 6 values are the population, so no need to subtract 1, from the sample size. This result is the variance Variance =204/6=34
step 5 </span><span>Standard deviation = sqrt(variance) standard deviation= </span>√<span>(34)------> 5.83