Answer:
Standard deviation for owner-occupied units
2.9797
Standard deviation for renter-occupied units
3.1594
Step-by-step explanation:
Let us find first the mean. This is the distribution expected value or expectancy.
Mean for owner-occupied units
0.003 + 2*0.002 + 3*0.023 + 4*0.102 + 5*0.209 + 6*0.223 + 7*0.201 + 8*0.149 + 9*0.053 + 10*0.035 = 6.293
To compute the variance for owner-occupied units, we add these values
[tex](1-6.293)^2+(2-6.293)^2+(3-6.293)^2+(4-6.293)^2+(5-6.293)^2[/tex]
[tex]+(6-6.293)^2+(7-6.293)^2+(8-6.293)^2+(9-6.293)^2+(10-6.293)^2[/tex]
then divide by 10 and take the square root to get the standard deviation 2.9797
Mean for renter-occupied units
0.008 + 2*0.027 + 3*0.287 + 4*0.371 + 5*0.155 + 6*0.090 + 7*0.043 + 8*0.013 + 9*0.003 + 10*0.003 = 4.184
To compute the variance for renter-occupied units, we add these values
[tex](1-4.184)^2+(2-4.184)^2+(3-4.184)^2+(4-4.184)^2+(5-4.184)^2[/tex]
[tex]+(6-4.184)^2+(7-4.184)^2+(8-4.184)^2+(9-4.184)^2+(10-4.184)^2[/tex]
then divide by 10 and take the square root to get the standard deviation 4.184
