Question

aFind the sum of squares of the deviations from the mean of a series of ACT scores listed below.30, 32, 14, 22, 12The sum of squares is(Type an integer or a decimal.)

Answer 1

$\begin{gathered} 30,32,14,22,12 \\ Mean=\frac{30+32+14+22+11}{5}=\frac{110}{5}=22 \\ Deviations \\ (30-22)^2=(8)^2=64 \\ (32-22)^2=(10)^2=100 \\ (14-22)^2=(-8)^2=64 \\ (22-22)^2=(0)^2=0 \\ (12-22)^2=(-10)^2=100 \\ sum=64+100+64+0+100 \\ sum=328 \\ The\text{ sum is 328} \\ \end{gathered}$