BUS 226 Discussion 3 Group B | Colorado Community College Online
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BUS 226 Discussion 3 Group B | Colorado Community College Online
Data was collected on the
gas mileage (miles per gallon = MPG) for a select group of eleven (11) SUVs.
The data points and descriptive statistics from an Excel statistical
application are shown below. (The far left column contains the data points; the
far right column reports the corresponding Z scores. The middle columns show
common descriptive statistics.)
1.
After
Constance viewed this data, she said "This data is very
symmetrical." Clearly state why you do or why
you don't agree with Constance's statement.
2.
Constance
continues... "I'm a little confused though. Since a symmetrical data
set should follow the empirical rule, why doesn't the variance of 61.6 divided
by the mean of 26 equal an exact 3?" Clearly state a
thorough answer to Constance's question.
|
Table: Miles Per Gallon (MPG) for Select
SUVs |
||||
|
MPG select SUVs (n = 11) |
Statistics |
Descriptive Statistics |
MPG |
Z Score |
|
21 |
Mean |
26 MPG |
21 |
-0.64 |
|
25 |
Standard
Error |
2.37 MPG |
25 |
-0.13 |
|
22 |
Median |
22.00 MPG |
22 |
-0.51 |
|
23 |
Mode |
21 MPG |
23 |
-0.38 |
|
34 |
Standard
Deviation |
7.85 MPG |
34 |
1.02 |
|
34 |
Sample
Variance |
61.60 MPG^2 |
34 |
1.02 |
|
20 |
Kurtosis |
1.52 |
20 |
-0.76 |
|
21 |
Skewness |
1.52 |
21 |
-0.64 |
|
44 |
Range |
24 MPG |
44 |
2.29 |
|
22 |
Minimum |
20 MPG |
22 |
-0.51 |
|
20 |
Maximum |
44 MPG |
20 |
-0.76 |
|
Sum |
286 MPG |
|||
|
Count |
11 |
|||
|
Coefficient of Variation = 30.19% |
||||
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