Answered: The table below shows the alcohol…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 22PFA

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Question

The table below shows the alcohol consumption per capita for seventeen high-income countries in 2014
according to https://ourworldindata.org.

Country Liters of Alcohol Consumption per Capita in 2014
Australia 7.3
Austria 10.4
Belgium 9.6
Canada 6.7
Denmark 8
Finland 6.9
France 9.2
Germany 9.6
Italy 6.1
Japan 5.6
Netherlands 7.4
New Zealand 6.4
Norway 6.3
Sweden 6.1
Switzerland 8.3
United Kingdom 8
United States 7

1) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for
these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include
your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you
use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator
and include those if you’d rather.)

Mean = _______________________
(Round to 1 decimal place.)

Median = ______________________

Mode(s) = ________________________

Standard Deviation =_________________________
(Round to 4 decimal places and treat this data set as a whole population, not a sample.)

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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