1) U.S. Exports The table at the left shows the U.S. exports (in billions of dol
ID: 3376192 • Letter: 1
Question
1) U.S. Exports The table at the left shows the U.S. exports (in billions of dollars) to 19 countries for a recent year. (Source: U.S. Department of Commerce) Camad:2s0.9 Taiwan:259 Netherlands: 42.4 China: 1039 Australia: 27.5 Malaysia: 14 2 Jpan:65-7 South Kor-a: 43.4 Singapor31-2 Fraee: 27s Srazzil: 42.O Bclgium: 29.9 I talyv 16O Siterland: 24.4 Saudi Arabia: 13s nited Kinsdom:55.o a. What can you say of the mean and the median of the exports? b. Find the mean and the median without the U.S. exports to Canada. Which measure of central tendency, the mean or the median, was affected more by the elimination of the Canadian exports? c. Describe the distribution.Explanation / Answer
(a)
(i) Mean = 1104.3/19=58.1211
(ii)
Median:
Arranging numbers in ascending order, we get:
10.9,13.8,14.2,16.0,24.4,25.9,27.5,27.8,29.9,31.2,42.4,42.9,43.4,49.2,55.9,65.7,103.9,198.4,280.9
Median = (N+1)/2th item = (19+1)/2th item = 10th item = 31.2
(b)
Omitting Canada = 280.9, we get:
(i) Mean = 823.4/18=45.7444
(ii) Median:
Arranging numbers in ascending order, we get:
10.9,13.8,14.2,16.0,24.4,25.9,27.5,27.8,29.9,31.2,42.4,42.9,43.4,49.2,55.9,65.7,103.9,198.4
Median is (N+1)/2th item = (18+1)/2th item = average of 9th & 10th item = (29.9 + 31.2)/2 = 30.55
Mean was affected more.
(c)
Since the mean is greater than the median the distribution is positively skewed.
(d)
India = 21.5 is added.
(i)
Mean = 1125.8/20=56.29
Median:
Arranging numbers in ascending order, we get:
10.9,13.8,14.2,16.0,21.5,24.4,25.9,27.5,27.8,29.9,31.2,42.4,42.9,43.4,49.2,55.9,65.7,103.9,198.4,280.9
Median = (N+1)/2th item = (20+1)/2th item = average of 10th & 11th item = (29.9 + 31.2)/2 = 30.55
Mean was affected.
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