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
Let's say Alice is 4 feet tall and Bob is 6 feet tall. The ratio of their heights is the required Alice:Bob = 2:3. That means Bob is 3/2 = 1.5 times taller than Alice.
An easy way to think of independent and dependent variables is, when you're conducting an experiment, the independent variable is what you change, and the dependent variable is what changes because of that. You can also think of the independent variable as the cause and the dependent variable as the effect.
