11. In a study of the gasoline mileage of model year 2017 automobiles, the mean miles per gallon was 27.5 and the median was 26.8. The smallest value in the study was 12.70 miles per gallon, and the largest was 50.20. The first and third quartiles were 17.95 and 35.45 miles per gallon, respectively. Develop a box plot and comment on the distribution. Is it a symmetric distribution?

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11. In a study of the gasoline mileage of model year 2017 automobiles, the mean miles
per gallon was 27.5 and the median was 26.8. The smallest value in the study was
12.70 miles per gallon, and the largest was 50.20. The first and third quartiles were
17.95 and 35.45 miles per gallon, respectively. Develop a box plot and comment
on the distribution. Is it a symmetric distribution?
Scanned with CamScanner
DESCRIBING DATA: DISPLAYING AND EXPLORING DATA
103
the mean, median, and standard deviation of the earnings per share data. Also in-
cluded are the coefficient of skewness and a histogram with a bell-shaped curve
superimposed.
Summany toe Tarnng
Summary for Earnings
Anderan Daing ematy Test
A-Squared
P Value
0.82
0.026
Mean
4.9507
5.2218
27.2668
SIDEV
Varkance
Skevness
0.973355
Kurtosis
0.091154
15
Mnmum
1st Quartle
Medan
3rd Quartle
Maximum
95% Confdence Interval for Mean
2.0590
0.0900
0.5100
3.1800
8.9200
16.4000
7.8424
95% Confalence Intervals
S5% Conidence nterval for Medan
Hean
0.7378
8.5129
Madan
95% Confidence Interval for SDev
3.8230
8.2352
Source: Minitab
Transcribed Image Text:11. In a study of the gasoline mileage of model year 2017 automobiles, the mean miles per gallon was 27.5 and the median was 26.8. The smallest value in the study was 12.70 miles per gallon, and the largest was 50.20. The first and third quartiles were 17.95 and 35.45 miles per gallon, respectively. Develop a box plot and comment on the distribution. Is it a symmetric distribution? Scanned with CamScanner DESCRIBING DATA: DISPLAYING AND EXPLORING DATA 103 the mean, median, and standard deviation of the earnings per share data. Also in- cluded are the coefficient of skewness and a histogram with a bell-shaped curve superimposed. Summany toe Tarnng Summary for Earnings Anderan Daing ematy Test A-Squared P Value 0.82 0.026 Mean 4.9507 5.2218 27.2668 SIDEV Varkance Skevness 0.973355 Kurtosis 0.091154 15 Mnmum 1st Quartle Medan 3rd Quartle Maximum 95% Confdence Interval for Mean 2.0590 0.0900 0.5100 3.1800 8.9200 16.4000 7.8424 95% Confalence Intervals S5% Conidence nterval for Medan Hean 0.7378 8.5129 Madan 95% Confidence Interval for SDev 3.8230 8.2352 Source: Minitab
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