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Argue logically whether or not the following relationships are satisfied in a bell shaped frequency

Question: Argue logically whether or not the following relationships are satisfied in a bell shaped frequency distribution with positive skew.

a.)

N __

∑ (xi – X) > 0

i=1

(the sum of the values xi minus the mean is greater than 0 )

b.)

N __

∑ (xi – X) 2 > 0

i=1

(the sum squared of the values xi minus the mean is greater than 0 )

c.)

N __

∑ (xi – X) 3 > 0

i=1

(the sum to the third power of the values xi minus the mean is greater than 0)

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