Question

Table Gifts Returned.
Store	Returned
A	13
B	8
C	36
D	18
E	6
F	21

Consider the dollar value (in thousands) of gifts returned to each of your department stores after the holiday season:

a.compute the sample standard deviation.

b. interpret the standard deviation in a paragraph discussing the variation from one store to another.

Answer 1

X	(X - X̄)²
13	16.00
8	81.00
36	361.00
18	1.00
6	121.00
21	16.00

	X	(X - X̄)²
total sum	102	596.00
n	6	6

sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   √   (596/5)   =       10.92

b)

mean =    ΣX/n =    102.000   /   6   =   17

As we can see the mean is 17 and there are values which are highlt greater than 17 and highly lesser than 17.

That's why the variation is so high.

THANKS

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