The data below represent US exports (in billions of dollars) to 18 countries in 2015  Canada 133.7 Mexico 56.8 Germany 23.5 Taiwan 18.4 Norway 16.6 China 12.0 Australia 12.0 Malaysia 8.5 Japan 67.5 UK 30.9 South Korea 26.6 France 14.4 Brazil 12.7 Belgium 12.5 Italy  8.8 Thailand 7.2 S.A 7.3 Austria 7.3 Find the mean and median.  What is the most appropriate measure of central tendency for this sample? Why?  Find the sum of squares, range, variance, and standard deviation for the sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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The data below represent US exports (in billions of dollars) to 18 countries in 2015 

Canada

133.7

Mexico

56.8

Germany

23.5

Taiwan

18.4

Norway

16.6

China

12.0

Australia

12.0

Malaysia

8.5

Japan

67.5

UK

30.9

South Korea

26.6

France

14.4

Brazil

12.7

Belgium

12.5

Italy 

8.8

Thailand

7.2

S.A

7.3

Austria

7.3

Find the mean and median. 

What is the most appropriate measure of central tendency for this sample? Why? 

Find the sum of squares, range, variance, and standard deviation for the sample.

What is the z-score for the UK? 

What is the z-score for SA?

What percent of the data falls between Saudi Arabia and Norway? 

What raw scores (two scores) correspond to the boundaries of the center 95% of the distribution?

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The data in ascending order is given below;

No. Country Exports (x)
1 Thailand 7.2
2 S.A. 7.3
3 Austria 7.3
4 Malaysia 8.5
5 Italy 8.8
6 China 12.0
7 Australia 12.0
8 Belgium 12.5
9 Brazil 12.7
10 France 14.4
11 Norway 16.6
12 Taiwan 18.4
13 Germany 23.5
14 South Korea 26.6
15 UK 30.9
16 Mexico 56.8
17 Japan 67.5
18 Canada 133.7
SUM   476.7

Mean=1nixi=476.718=26.4833Here n=18. That is n is even.Median=n2th observation+n2+1th observation2=9th observation+10th observation2=12.7+14.42=13.55

The most appropriate measure of central tendency for this sample is median. Since the data is skewed towards the right.

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