Question
The number of billionaires in a geographic region in the U.S. are given in the table....
The number of billionaires in a geographic region in the U.S. are given in the table. Complete parts (a) through (d) below.
|
State 1 |
15 |
|
|---|---|---|
|
State 2 |
14 |
|
|
State 3 |
14 |
|
|
State 4 |
7 |
|
|
State 5 |
5 |
c. Find and report the standard deviation of the number of billionaires per state.
The standard deviation of the number of billionaires per state is:
(Round to the nearest tenth as needed.)
d. the number farthest from the mean that contributes the most to the given standard deviation is __ which represents the number of billionaires in ___.
Homework Answers
Answer #1
| X | X2 | |
| State 1 | 15 | 225 |
| State 2 | 14 | 196 |
| State 3 | 14 | 196 |
| State 4 | 7 | 49 |
| State 5 | 5 | 25 |
| Sum = | 55 | 691 |
The sample mean is computed as follows:
Also, the sample variance is
Therefore, the sample standard deviation s is
. Find and report the standard deviation of the number of billionaires per state.
The standard deviation of the number of billionaires per state is:
s = 4.1 billionaires
d. the number farthest from the mean that contributes the most to the given standard deviation is 5 which represents the number of billionaires in State 5
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