Question

Data was collected on the gas mileage (miles per gallon = MPG) for a select group of 11 SUVs; see the Excel descriptive statistics file below.

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.

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.

MPG for select 2016 SUVs					Z-Scores
	Count	11	Skewness	1.3055
21	Mean	26.	Skewness Standard Error	0.59761	-0.637058989
25	Mean LCL	20.72726	Kurtosis	3.40921	-0.127411798
22	Mean UCL	31.27274	Kurtosis Standard Error	0.92118	-0.509647191
23	Variance	61.6	Skewness (Fisher's)	1.52136	-0.382235394
34	Standard Deviation	7.84857	Kurtosis (Fisher's)	1.51534	1.019294383
34	Mean Standard Error	2.36643	Coefficient of Variation	0.30187	1.019294383
20	Minimum	20.	Mean Deviation	6.18182	-0.764470787
21	Maximum	44.	Second Moment	56.	-0.637058989
44	Range	24.	Third Moment	547.09091	2.293412361
22	Sum	286.	Fourth Moment	10,691.27273	-0.509647191
20	Sum Standard Error	26.03075	Median	22.	-0.764470787
	Total Sum Squares	8,052.	Median Error	0.89425
	Adjusted Sum Squares	616.	Percentile 25% (Q1)	21.
	Geometric Mean	25.10531	Percentile 75% (Q3)	34.
	Harmonic Mean	24.38072	IQR	13.
	Mode	#N/A	MAD (Median Absolute Deviation)	2.

Answer 1