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Answers to Homework 4
19.
a)
b)
Mean is probably 5 (the middle of the distribution)
SD is probably somewhere between 0 and 3 because the farthest points on the
graph are 3 points away.
c)
To find standard deviation: M = 8+6+2+6+3+5/6 = 30/6 = 5
X
XM
(XM)
2
8
3
9
6
1
1
2
3
9
6
1
1
3
2
4
5
0
0
24
SS / N = variance
variance = SD
√
24/6 = 4
4 =
√
2
22.
a)
b)
Mean is probably around 6 or 7.
SD is probably somewhere between 0 and 6
c)
To find standard deviation: M = 12+1+10+6+3+3+7/7 = 42/7 = 6
X
XM
(XM)
2
12
6
36
1
5
25
10
4
16
6
0
0
3
3
9
3
3
9
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1
1
96
SS / (n1) = variance
variance = SD
√
96/(71) = 16
16 = 4
√
25.
To find standard deviation: M = 4+ 0+1+1/4 = 6/4 = 1.5
X
XM
(XM)
2
4
2.5
6.25
0
1.5
2.25
1
0.5
0.25
1
0.5
0.25
9
SS / (n1) = variance
variance = SD
√
9/41 = 3
3 = 1.73
√
2.
a)
4/8 = 0.5
c)
8/8 = 1
3.
a)
Z =
X
–
μ
2 =
X
2*4 = X
X = 8
8 points above the mean
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 Fall '09
 DianeAlonso

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