Question

find the standard deviation. round your answer to the nearest tenth. The following are the sizes in square feet of the 17 and faculty office in the mathematics department at college 145, 153, 157, 170, 164, 111, 177, 119, 139, 177, 161, 143, 116, 108, 188, 192, 179

Answer 1

Solution:

Mean = (145+153+157+170+164+111+177+119+139+177+161+143+116+108+188+192+179)/17 = 152.88

Standard deviation = sqrt(summation(Xi-mean)^2/(n-1)) = sqrt(145-152.88)^2+(153-152.88)^2+(157-152.88)^2+(170-152.88)^2+(164-152.88)^2+(111-152.88)^2+(177-152.88)^2+(119-152.88)^2+(139-152.88)^2+(177-139.88)^2+(161-152.88)^2+(143-152.88)^2+(116-152.88)^2+(108-152.88)^2+(188-152.88)^2+(192-152.88)^2+(179-152.88)^2)/16)) = sqrt(11737.76/16) = sqrt(733.61) = 27.1