given the population, 20, 35, 55, 40, and 25, what is the sum of the squares?\n$\\sum(x - \\mu)^2$\n(round…

given the population, 20, 35, 55, 40, and 25, what is the sum of the squares?\n$\\sum(x - \\mu)^2$\n(round off to two decimal places as they occur.)\n\nsum of the squares table\n| x | $(x - \\mu)$ | $(x - \\mu)^2$ |\n|----|----|----|\n|\n|\n|\n|\n|\n|\n|\n|\n|\n|\n|\n|\n| $\\mu=$ | | $\\sum=$ |\n\nwhat is the sum of the squares of the population?\n\no 75\no 175\no 475\no 750
Answer
Answer:
D. 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
$225+0 + 400+25+100=750$