the world. A sample of 30 of countries was selected, and a stem-and-leaf plot of the per capita alcohol consumption (in gallons per year) was constructed. The resulting plot, and some summary statistics are given below.

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1.
The Food and Agricultural Organization of the United Nations, FAOSTAT, collects
information on the production and consumption of food and agricultural products for 200 countries around
the world. A sample of 30 of countries was selected, and a stem-and-leaf plot of the per capita alcohol
consumption (in gallons per year) was constructed. The resulting plot, and some summary statistics are
given below.
Leaf Unit = 1.0
03
Σ1지 3 802
1456888
20124555566789
ΣL1X324,560
%3D
3 001447
4 014
56
(a) What is the population under consideration here? What is the unit?
(b) What is the variable of interest here? Is this variable continuous or discrete?
(c) Describe the shape of the distribution.
(d) Find the sample mean and sample standard deviation of the per capita alcohol consumption for this
sample of 30 countries.
(c) According to Chebyshev's/Tchebysheff's Theorem, what interval would contain at least 75% of the
observations in the data set? What percentage of observations actually do fall within this interval?
(f) Using the 1.5 IQR rule, are there any outliers in this data set? To help get you started, the first quartile is
19.5 gallons per year.
Transcribed Image Text:1. The Food and Agricultural Organization of the United Nations, FAOSTAT, collects information on the production and consumption of food and agricultural products for 200 countries around the world. A sample of 30 of countries was selected, and a stem-and-leaf plot of the per capita alcohol consumption (in gallons per year) was constructed. The resulting plot, and some summary statistics are given below. Leaf Unit = 1.0 03 Σ1지 3 802 1456888 20124555566789 ΣL1X324,560 %3D 3 001447 4 014 56 (a) What is the population under consideration here? What is the unit? (b) What is the variable of interest here? Is this variable continuous or discrete? (c) Describe the shape of the distribution. (d) Find the sample mean and sample standard deviation of the per capita alcohol consumption for this sample of 30 countries. (c) According to Chebyshev's/Tchebysheff's Theorem, what interval would contain at least 75% of the observations in the data set? What percentage of observations actually do fall within this interval? (f) Using the 1.5 IQR rule, are there any outliers in this data set? To help get you started, the first quartile is 19.5 gallons per year.
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