Question

given the population, 20, 35, 55, 40, and 25, what is the sum of the squares?
$\sum(x - \mu)^2$
(round off to two decimal places as they occur.)

sum of the squares table

x	$(x - \mu)$	$(x - \mu)^2$

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$\mu=$

$\sum=$

what is the sum of the squares of the population?

o 75
o 175
o 475
o 750

Explanation:

Step1: Calculate population mean

$\mu=\frac{20 + 35+55+40+25}{5}=35$

Step2: Calculate $(x - \mu)^2$ for each value

$(20 - 35)^2=225$, $(35 - 35)^2 = 0$, $(55 - 35)^2=400$, $(40 - 35)^2 = 25$, $(25 - 35)^2=100$

Step3: Sum the results

$225+0 + 400+25+100=750$

Answer:

D. 750