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Question

Engines One measure of the size of an automobile

engine is its “displacement,” the total volume (in liters or

engine is its “displacement,” the total volume (in liters or

cubic inches) of its cylinders. Summary statistics for sev-

eral models of new cars are shown. These displacements

eral models of new cars are shown. These displacements

were measured in cubic inches.

a) How many cars were measured?

b) Why might the mean be so much larger than the

median?

c) Describe the center and spread of this distribution

with appropriate statistics.

d) Your neighbor is bragging about the 227-cubic-inch

b) Why might the mean be so much larger than the

median?

c) Describe the center and spread of this distribution

with appropriate statistics.

d) Your neighbor is bragging about the 227-cubic-inch

engine he bought in his new car. Is that engine unusu-

ally large? Explain.

ally large? Explain.

e) Are there any engines in this data set that you would

consider to be outliers? Explain.

f) Is it reasonable to expect that about 68% of car

engines measure between 88 and 266 cubic inches?

(That’s 177.289 { 88.8767.) Explain.

g) We can convert all the data from cubic inches to

cubic centimeters (cc) by multiplying by 16.4. For

example, a 200-cubic-inch engine has a displacement

of 3280 cc. How would such a conversion affect each

of the summary statistics?

consider to be outliers? Explain.

f) Is it reasonable to expect that about 68% of car

engines measure between 88 and 266 cubic inches?

(That’s 177.289 { 88.8767.) Explain.

g) We can convert all the data from cubic inches to

cubic centimeters (cc) by multiplying by 16.4. For

example, a 200-cubic-inch engine has a displacement

of 3280 cc. How would such a conversion affect each

of the summary statistics?

Tagged in

Math

Statistics

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Transcribed Image Text

Summary of Displacement Count 38 Mean 177.29 Median 148.5 StdDev 88.88 Range 275 25th % tile 105 75th %tile 231