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Model mpg Model mpg

Acura RL 22 Lexus GS 350 26

Audi A6 Quattro 23 Lincoln MKZ 28

Bentley Arnage 14 Mazda 6 29

BMW 5281 28 Mercedes Benz E350 24

Buick Lacrosse 28 Mercury Milan 29

Cadillac CTS 28 Mitsubishi Galant 27

Chevrolet Malibu 33 Nissan Maxima 26

Chrysler Sebring 30 Rolls-Roybe Phantom 18

Dodge Avenger 30 Saturn Aura 29

Hyundai Elantra 33 Toyota Camry 31

Jaguar XF 25 Volkswagon Passat 29

Kia Optima 32 Volvo S80 25

1. Who are the individuals being described by the table? 2. What variables describe them, and are they quantitative or

categorical?

Patterns and Deviations

Unit 1: Univariate Data

Objectives

• Identify overall patterns and deviations in dotplots and stemplots.

Overall Pattern

• Shape: Symmetric or skewed • Center: The midpoint of the

distribution• Spread: The smallest and largest

values, ignoring outliers.

Deviations

• Outlier: an individual observation that falls outside the overall pattern of the graph

Displaying Quantitative Data: DotplotsAre you driving a gas guzzler?

Model mpg Model mpg

Acura RL 22 Lexus GS 350 26

Audi A6 Quattro 23 Lincoln MKZ 28

Bentley Arnage 14 Mazda 6 29

BMW 5281 28 Mercedes Benz E350 24

Buick Lacrosse 28 Mercury Milan 29

Cadillac CTS 28 Mitsubishi Galant 27

Chevrolet Malibu 33 Nissan Maxima 26

Chrysler Sebring 30 Rolls-Roybe Phantom 18

Dodge Avenger 30 Saturn Aura 29

Hyundai Elantra 33 Toyota Camry 31

Jaguar XF 25 Volkswagon Passat 29

Kia Optima 32 Volvo S80 25

Overall Pattern and Deviations

• Overall Pattern• Shape: The shape of the distribution is skewed

with most cars having higher mpg and only a few cars having lower mpg.

• Center: The center of the distribution is around 28-29 mpg.

• Spread: Excluding outliers, mpg ranged from 22 to 33.

• Outliers• Solution: We see two cars with unusually low gas

mileage, Bentley Arnage and Rolls-Royce Phantom (14 and 18 mpg).

Overall Patterns: Stemplots

The stemplot displays electric bills in dollars for a sample of 33 PECO users. Describe the overall pattern and any deviations. How would this information help you make a decision about whether or not to purchase electricity through PECO?

Shape: SymmetricCenter: Around $60Spread: Excluding outliers, the bills range from $35 to $96.Outliers: There is one bill that was only $16!

Did we accomplish our objective?

Independent Practice and Homework

• Khan Academy: HSS.ID.A.1• HSS.ID.A.2• HSS.ID.A.3