Below are approximate, daily average viewing times for 12 countries based on 200
ID: 3126187 • Letter: B
Question
Below are approximate, daily average viewing times for 12 countries based on 2007 data from the Economist Web site (http://www.economist.com/):
United States 8.2 hours
Turkey 5 hours
Italy 4.05 hours
Japan 3.75 hours
Spain 3.6 hours
Portugal 3.5 hours
Australia 3.2 hours
South Korea 3.16 hours
Canada 3.1 hours
Britain 3 hours
Denmark 3 hours
Finland 2.8 hours
a. What are the mean and the median values across these 12 data points?
b. How would the mean and median values of this data be affected by excluding the United States from the analysis?
c. Which measure of central tendency do you think was used to calculate these daily averages?
d. How would you collect the sample to more specifically describe TV viewing habits as a function of a particular demographic characteristic such as age?
United States 8.2 hours
Turkey 5 hours
Italy 4.05 hours
Japan 3.75 hours
Spain 3.6 hours
Portugal 3.5 hours
Australia 3.2 hours
South Korea 3.16 hours
Canada 3.1 hours
Britain 3 hours
Denmark 3 hours
Finland 2.8 hours
Explanation / Answer
a. Find mean as follows;
(8.2+4.05+...+2.8)/12=3.863
To find median sort the given list.
2.8,3,....,8.2
Since, there are 12 numbers so a pair of middle numbers are there. They are 3.2 and 3.5. Find average of them. That is 3.35.
b. If United states is removed, both mean and median will be lessened. Total number being reduced, mean reduces and median becomes th emiddle value (odd number formula).
c. Median is used to measure the central tendency as the data shows skewness.
d. Data should be stratified per age (different levels of age) to more specifically describe tv viewing habits.
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