How do rented housing units differ from units occupied by their owners? Here are the distributions of the number of rooms for owner-occupied units and renter occupied units in San Jose, California.--------------------------------------------------------------------------------Rooms 1 2 3 4 5 6 7 8 9 10Owned 0.003 0.002 0.023 0.102 0.209 0.223 0.201 0.149 0.053 0.035Rented 0.008 0.027 0.287 0.371 0.155 0.090 0.043 0.013 0.003 0.003Find the standard deviation for both distributions. The standard deviation provides a numerical measure of spread.Owned ??Rented ??

Answer:Standard deviation for owner-occupied units2.9797Standard deviation for renter-occupied units3.1594Step-by-step explanation:Let us find first the mean. This is the distribution expected value or expectancy.Mean for owner-occupied units0.003 + 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 = 6.293To 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 2.9797Mean for renter-occupied units0.008 +  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 = 4.184To 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