Summary of Displacement Count 38 Mean 177.29 Median 148.5 StdDev 88.88 Range 275 25th % tile 105 75th %tile 231
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
engine is its “displacement,” the total volume (in liters or
eral models of new cars are shown. These displacements
b) Why might the
median?
c) Describe the center and spread of this distribution
with appropriate statistics.
d) Your neighbor is bragging about the 227-cubic-inch
ally large? Explain.
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?
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