a. 6, 4, 1, 0, 1 b. 7, 5, 3, 3, 2, 0, 2 c. 1,...

Question

Question

a. 6, 4, 1, 0, 1

b. 7, 5, 3, 3, 2, 0, 2

c. 1, -3, 6, 7, 3, 5, 5, 6, 7

d. 0, 2, 0, 0, -4, 4, -2, 4, 0, -4, 4, -4, 0, -3, -2, -4, 0, 4

I need the range, variance and standard deviation for each a, b, c and d.

Answer 1

Answer #1

a)	Values (x)		(x-mean)^2
	6		12.96
	4		2.56
	1		1.96
	0		5.76
	1		1.96
Mean	2.4	SUM	25.2

Range = Highest value - lowest value
Range = 6 - 0
Range = 6.

Variance = SUM/5
Variance	25.2/5
Variance	5.04
Standard deviation = (Variance)^(.5)
Standard deviation	(5.04)^(.5)
Standard deviation	2.2449944


b)	Values (x)		(x-mean)^2
	7		14.877551
	5		3.44897959
	3		0.02040816
	3		0.02040816
	2		1.30612245
	0		9.87755102
	2		1.30612245
Mean	3.1428571	SUM	30.8571429

Range = Highest value - lowest value
Range = 7 - (0)
Range = 7

Variance = SUM/7
Variance	30.85714/7
Variance	4.4081633
Standard deviation = (Variance)^(.5)
Standard deviation	(4.4081633)^(.5)
Standard deviation	2.0995626

c)	Values (x)		(x-mean)^2
	1		9.67901235
	-3		50.5679012
	6		3.56790123
	7		8.34567901
	3		1.2345679
	5		0.79012346
	5		0.79012346
	6		3.56790123
	7		8.34567901
Mean	4.1111111	SUM	86.8888889

Range = Highest value - lowest value
Range = 7 - (-3)
Range = 10

Variance = SUM/9
Variance	86.88889/9
Variance	9.654321
Standard deviation = (Variance)^(.5)
Standard deviation	(9.654321)^(.5)
Standard deviation	3.1071403

d)	Values (x)		(x-mean)^2
	0		0.07716049
	2		5.1882716
	0		0.07716049
	0		0.07716049
	-4		13.8549383
	4		18.2993827
	-2		2.96604938
	4		18.2993827
	0		0.07716049
	-4		13.8549383
	4		18.2993827
	-4		13.8549383
	0		0.07716049
	-3		7.41049383
	-2		2.96604938
	-4		13.8549383
	0		0.07716049
	4		18.2993827
Mean	-0.277778	SUM	147.611111

Range = Highest value - lowest value
Range = 4 - (-4)
Range = 8

Variance = SUM/18
Variance	147.6111/18
Variance	8.2006173
Standard deviation = (Variance)^(.5)
Standard deviation	(8.2006173)^(.5)
Standard deviation	2.863672

Answer 2

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