Question

Chapter 3 Project Project A: Olympic Gold The following tables give the years of the Winter Olympics and the number of gold medale each year by the United States. USA Gold Medal Count 1924 1928 1932 1936 1948 1952 1956 1960 19641968 Number of Gold Medals Number of 16 14 35 2010 Year 1976 1980 1984 1988 1992 1994 1998 2002 2006 10 Number of Gold Medals 78 86 Number of Source: Oympic.org "Oympic Games tt/www.olympic.orgilympic şames 13 Jun. 20111. Note that the number of events is not the same for every year. When analyzing the data,it wil become necessary to take into account the number of gold medals as a percentage of the numbe f events. No w we are ready to estimate the expected number of gold medals for the United Stat the 2010 Winter Games Begin by calculating the number of gold medals won each year as a percentage of the number of events. To do this, divide the number of gold medals by the number of events, and then multiply by 100. Round your answers to the nearest whole percentage. Create a table similar to the one above with the percentage of gold medals won in each year 1. Calculate the range of the number of gold medals and the range of the percentage of gold 2. 3. Calculate the median number of gold medals and the median percentage of gold medals. Calculate the mode of the number of gold medals and the mode of the percentage of gold 4. medals Calculate the mean number of gold medals won. 5. 6. Calculate the mean percentage of gold medals won by adding to get the total number of gol medals won in all years, dividing by the total number of events in all years and then multiplying by 100. Round your answer to the nearest whole percentage. (Note that you cannot averug percentages. This is why we have to go back to the numbers of gold medals and the numbe of events.) 7. Calculate the five-number summary for the number of gold medals won. Draw a box plot for the number of gold medals won. 8.

Answer 1

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AS FOR GIVEN DATA...

The mode for number of gold medals is 10 and it occurs in 2002. This is simply evident from the data.

To find the mode of percentage of gold medals we have to find the percentage for each year by dividing number of events from number of gold medals and then multiplying by 100.

Thus we have,

Year	Number of gold medals	Number of events	Percentage of gold medals
1924	1	16	6.3
1928	2	14	14.3
1932	6	14	42.9
1936	1	17	5.9
1948	3	22	13.6
1952	4	22	18.2
1956	2	24	8.3
1960	3	27	11.1
1964	1	34	2.9
1968	1	35	2.9
1972	3	35	8.6
1976	3	37	8.1
1980	6	38	15.8
1984	4	29	13.8
1988	2	46	4.3
1992	5	57	8.8
1994	6	61	9.8
1998	6	68	8.8
2002	10	78	12.8
2006	9	84	10.7
2010		86

From the above table we can see that the mode for percentage is 42.9 which occurs in 1932.

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