Referring to the hourly wage data given in Problem 15, calculate the deviations (from the mean) for ...

Hourly wage: 18, 16, 20, 12, 14, 12, 10
102
7
14.57
X
X
N
= = =

=
= =  = +
= =  = +
= =  = +
= =  =
= =  =
= =  =
=
Deviation
18; deviation 18 14.57 3.43
16; deviation 16 14.57 1.43
20; deviation 20 14.57 5.43
12; deviation 12 14.57 2.57
14; deviation 14 14.57 .57
12; deviation 12 14.57 2.57
10; d
X X
X X X X X X X
eviation 10 14.57 4.57 =  =
These deviations indicate that the wage levels are separated by approximately
equal intervals.

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Sentence lengths: 4, 5, 3, 3, 40
55
5
11
X
X
N
= = =

Deviation = X X
4; deviation 4 11 7
5; deviation 5 11 6
3; deviation 3 11 8
3; deviation 3 11 8
40; deviation 40 11 29
X X X X X
= =  =
= =  =
= =  =
= =  =
= =  = +
These deviations indicate that the distribution is highly skewed.

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a. Mode = 7
Median = 5
Mean = 4.7 (see below)
89
19
4.7
X
X
N
= = =

b.
Households f fX
9 2 18
8 1 8
7 3 21
6 2 12
5 2 10
4 2 8
3 2 6
2 2 4
1 2 2
0 1 0
Mode = 7
Median = 5
Mean = 4.7 (see below)
89
19
4.7

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