Gasoline 2011 In October 2011, 16 gas stations in easternWisconsin, posted these prices for a gallon of regulargasoline: 3.43 3.46 3.43 3.593.65 3.63 3.62 3.653.66 3.31 3.35 3.423.41 3.46 3.47 3.48a) Make a stem-and-leaf display of these gas prices.Use split stems; for example, use two 3.3 stems—onefor prices between $3.30 and $3.34 and the other forprices from $3.35 to $3.39.b) Describe the shape, center, and spread of this distribution.c) What unusual feature do you see?
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.
Wisconsin, posted these prices for a gallon of regular
gasoline:
3.65 3.63 3.62 3.65
3.66 3.31 3.35 3.42
3.41 3.46 3.47 3.48
a) Make a stem-and-leaf display of these gas prices.
Use split stems; for example, use two 3.3 stems—one
for prices between $3.30 and $3.34 and the other for
prices from $3.35 to $3.39.
b) Describe the shape, center, and spread of this distribution.
c) What unusual feature do you see?
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