A population consists of the three numbers (3,5,7). Make a table and compute for the following:

Question

A population consists of the three numbers (3,5,7). Make a table and compute for the following:

(a) Population mean

(b) Population variance

(c) Population standard deviation. Complete the table and solve for what is asked.

Is this correct?

Observation	X	X-μ	(X -μ)2	P(X)
1	3	-2	4	1/3
2	5	0	0	1/3
3	7	2	4	1/3
		0	8	1

Answer 1

population mean = the arithmetic average = (3+5+7)/3 = 15/3 = 5

population variance =the average sum of squared deviations from the mean = (4+0+4)/3 = 8/3 = 2.666...

divide by 3 instead of 2 because 3,5 and 7 are the population, not a sample from the population

population standard deviation = the square root of the variance = sqr(8/3) = 2sqr(2/3) = about 2(.81645)

= about 1.6329

mean=5

var = 8/3

SD = 2sqr(2/3)

your table looks correct