One of the authors (DCM) has a Mercedes-Benz 500 SL

Chapter 6, Problem 125SE

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QUESTION:

One of the authors (DCM) has a Mercedes-Benz 500 SL Roadster. It is a 2003 model and has fairly low mileage (currently 45,324 miles on the odometer). He is interested in learning how his car’s mileage compares with the mileage on similar SLs. Table 6E.15 contains the mileage on 100 Mercedes-Benz SLs from the model years 2003−2009 taken from the Cars.com website.

(a) Calculate the sample mean and standard deviation of the odometer readings.

(b) Construct a histogram of the odometer readings and comment on the shape of the data distribution.

(c) Construct a stem-and-leaf diagram of the odometer readings.

(d) What is the percentile of DCM’s mileage?

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QUESTION:

One of the authors (DCM) has a Mercedes-Benz 500 SL Roadster. It is a 2003 model and has fairly low mileage (currently 45,324 miles on the odometer). He is interested in learning how his car’s mileage compares with the mileage on similar SLs. Table 6E.15 contains the mileage on 100 Mercedes-Benz SLs from the model years 2003−2009 taken from the Cars.com website.

(a) Calculate the sample mean and standard deviation of the odometer readings.

(b) Construct a histogram of the odometer readings and comment on the shape of the data distribution.

(c) Construct a stem-and-leaf diagram of the odometer readings.

(d) What is the percentile of DCM’s mileage?

ANSWER:

Step 1 of 6

Given,

Number of observations, n = 100.

For n observations in a sample are denoted by  , the sample mean is

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