| Take Home Exercise #2 Answers |
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| This
is an interval variable, so all univariate statistics apply. |
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| Mode
= 0 (29%): The most common number of
children among Americans is no children. |
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| Median
= 2: About half of Americans have none
or one child and about half have 2 or more children. |
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| Mean |
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| x |
f |
xf |
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| 0 |
813 |
0 |
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| 1 |
455 |
455 |
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| 2 |
719 |
1438 |
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| 3 |
449 |
1347 |
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| 4 |
188 |
752 |
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| 5 |
93 |
465 |
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| 6 |
32 |
192 |
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| 7 |
25 |
175 |
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| 8 |
27 |
216 |
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2801 |
5040 |
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Mean = 5040/2801
= |
1.7994 |
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1.8 Children |
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Americans have on average
1.8 children. |
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| Range
= 0 to 8: Americans range from having
0 to 8 children. |
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| Standard
Deviation |
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| x |
f |
xf |
x*x |
x*x*f |
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| 0 |
813 |
0 |
0 |
0 |
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| 1 |
455 |
455 |
1 |
455 |
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| 2 |
719 |
1438 |
4 |
2876 |
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| 3 |
449 |
1347 |
9 |
4041 |
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| 4 |
188 |
752 |
16 |
3008 |
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| 5 |
93 |
465 |
25 |
2325 |
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| 6 |
32 |
192 |
36 |
1152 |
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| 7 |
25 |
175 |
49 |
1225 |
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| 8 |
27 |
216 |
64 |
1728 |
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2801 |
5040 |
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16810 |
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See board for formula |
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s = 1.66 |
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There
is not a great deal of variation among Americans on the number of children
that they have. |
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71% of Americans have 0-2
children. |
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