Appoquinimink High School
AP Statistics HW #2:
1) The following table displays the total number of gold medals won by a sample of countries in the 2008 Summer Olympic Games in China.
|Country |Gold Medals |Country |Gold Medals |
|Sri Lanka |0 |Thailand |2 |
|China |51 |Kuwait |0 |
|Vietnam |0 |Bahamas |0 |
|Great Britain |19 |Kenya |5 |
|Norway |3 |Trinidad |0 |
|Romania |4 |Greece |0 |
|Switzerland |2 |Mozambique |0 |
|Armenia |0 |Kazakhstan |2 |
|Netherlands |7 |Denmark |2 |
|India |0 |Latvia |1 |
|Georgia |3 |Czech Republic |3 |
|Kyrgyzstan |0 |Hungary |3 |
|Costa Rica |0 |Sweden |0 |
|Brazil |3 |Uruguay |0 |
|Uzbekistan |1 |United States |36 |
a) Create a dot plot to display these data.
b) Describe the distribution (using SOCS).
c) Overall, 204 countries participated in the 2008 Summer Olympics, of which 55 won at least one gold medal. Do you believe that the sample of countries listed in the table is representative of entire population of countries that participated? Why or why not?
2) The following dot plot represents the difference in highway and city EPA mileage ratings for 24 different car models.
[pic]
Describe the distribution using SOCS.
3) Below is a stem and leaf plot of the percent of residents aged 25 to 34 in each of the 50 states. The plot is called a “split stem and leaf plot” because you will notice there are two of each number in the stem. The top one represents leaves 0 through 4 and the bottom with leaves 5 through 9.
11 4 4
11 6 6 7 7 8
12 0 1 3 4
12 6 6 6 7 7 8 8 8 8
13 0 0 0 0 0 0 1 1 1 1 4 4 4
13 7 7 8 8 9 9 9
14 0 0 4 4
14 5 6 7
15 1 1
15
16 0
a) Why did they split the stems?
b) Utah has the highest percent of residents aged from 25 to 34. What is that percent?
c) Describe the distribution (using SOCS).
4) It appears that El Nino, the periodic warming of the Pacific Ocean west of South America, affects the monsoon rains that are essential for agriculture in India. Here are the monsoon rains (in millimeters) for the 23 strong El Nino years between 1871 and 2004.
628 669 740 651 71 736 717 698 653 604 781 784 790
811 830 858 858 896 806 790 792 957 872
a) Create 2 stem and leaf plots for these rainfall amounts. One with splitting the stem and one without splitting the stem. Round to the nearest 10 so that stems are hundreds of millimeters and leaves are tens of millimeters.
b) Which stem and leaf plot do you prefer and why?
c) Describe the distribution (using SOCS)
d) The average monsoon rainfall for all the years from 1871 to 2004 is about 850 millimeters. What effect does El Nino appear to have on monsoon rains? Explain and give evidence.
5) Professor Moore, who lives a few miles outside a college town, records the time he takes to drive drive to college each morning. Here are the times (in minutes) for 42 consecutive weekdays:
8.25 7.83 8.30 8.42 8.50 8.67 8.17 9.00 9.00 8.17 7.92
9.00 8.50 9.00 7.75 7.92 8.00 8.08 8.42 8.75 8.08 9.75
8.33 7.83 7.92 8.8 7.83 8.42 7.75 7.42 6.75 7.42 8.50
8.67 10.17 8.75 8.58 8.67 9.17 9.08 8.83 8.67
a) Make a histogram for the drive times.
b) Describe the distribution using SOCS.
6) Find a graph of quantitative data from a newspaper or a magazine (can be an online version of the print).
a) Is the graph clearly labeled?
b) Does the graph have strange or unusual scaling to make data look skewed?
c) Do you think the article accompanying the graph correctly interprets the data? Explain.
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Key: 12|1 means that 12.1% of that state’s residents are aged
from 25 to 34 years of age.
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