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.
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
What is the most appropriate measure of
Find the sum of squares,
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 |
The most appropriate measure of central tendency for this sample is median. Since the data is skewed towards the right.
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