Chapter 3.PA, Problem 1P

To determine

To create:

The table with the percentage of gold medals won in each year.

Answer to Problem 1P

Solution:

Year	Number of Gold Medals	Number of Events	Percentage of gold medals	Round off
1924	1	16	$=\frac{1}{16}\times 100=6.25$	6
1928	2	14	$=\frac{2}{14}\times 100=14.28$	14
1932	6	14	$=\frac{6}{14}\times 100=42.85$	43
1936	1	17	$=\frac{1}{17}\times 100=5.88$	6
1948	3	22	$=\frac{3}{22}\times 100=13.63$	14
1952	4	22	$=\frac{4}{22}\times 100=18.18$	18
1956	2	24	$=\frac{2}{24}\times 100=8.33$	8
1960	3	27	$=\frac{3}{27}\times 100=11.11$	11
1964	1	34	$=\frac{1}{34}\times 100=2.94$	3
1968	1	35	$=\frac{1}{35}\times 100=2.85$	3
1972	3	35	$=\frac{3}{35}\times 100=8.57$	9
1976	3	37	$=\frac{3}{37}\times 100=8.10$	8
1980	6	38	$=\frac{6}{38}\times 100=15.78$	16
1984	4	39	$=\frac{4}{39}\times 100=10.25$	10
1988	2	46	$=\frac{2}{46}\times 100=4.34$	4
1992	5	57	$=\frac{5}{57}\times 100=8.77$	9
1994	6	61	$=\frac{6}{61}\times 100=9.83$	10
1998	6	68	$=\frac{6}{68}\times 100=8.82$	9
2002	10	78	$=\frac{10}{78}\times 100=12.82$	13
2006	9	84	$=\frac{9}{84}\times 100=10.71$	11

Explanation of Solution

Given:

The data is given as,

USA Gold Medal Count
Year	1924	1928	1932	1936	1948	1952	1956	1960	1964	1968	1972
Number of Gold Medals	1	2	6	1	3	4	2	3	1	1	3
Number of Events	16	14	14	17	22	22	24	27	34	35	35
Year	1976	1980	1984	1988	1992	1994	1998	2002	2006	2010
Number of Gold Medals	3	6	4	2	5	6	6	10	9	?
Number of Events	37	38	39	46	57	61	68	78	84	86

The formula to calculate the number of gold medals won each year as a percentage of the number of events is given as,

$\text{Formula}=\frac{\text{No}\text{.}\text{of}\text{gold}\text{medals}}{\text{No}\text{.}\text{of}\text{events}}\times 100$

Year	Number of Gold Medals	Number of Events	Percentage of gold medals	Round off
1924	1	16	$=\frac{1}{16}\times 100=6.25$	6
1928	2	14	$=\frac{2}{14}\times 100=14.28$	14
1932	6	14	$=\frac{6}{14}\times 100=42.85$	43
1936	1	17	$=\frac{1}{17}\times 100=5.88$	6
1948	3	22	$=\frac{3}{22}\times 100=13.63$	14
1952	4	22	$=\frac{4}{22}\times 100=18.18$	18
1956	2	24	$=\frac{2}{24}\times 100=8.33$	8
1960	3	27	$=\frac{3}{27}\times 100=11.11$	11
1964	1	34	$=\frac{1}{34}\times 100=2.94$	3
1968	1	35	$=\frac{1}{35}\times 100=2.85$	3
1972	3	35	$=\frac{3}{35}\times 100=8.57$	9
1976	3	37	$=\frac{3}{37}\times 100=8.10$	8
1980	6	38	$=\frac{6}{38}\times 100=15.78$	16
1984	4	39	$=\frac{4}{39}\times 100=10.25$	10
1988	2	46	$=\frac{2}{46}\times 100=4.34$	4
1992	5	57	$=\frac{5}{57}\times 100=8.77$	9
1994	6	61	$=\frac{6}{61}\times 100=9.83$	10
1998	6	68	$=\frac{6}{68}\times 100=8.82$	9
2002	10	78	$=\frac{10}{78}\times 100=12.82$	13
2006	9	84	$=\frac{9}{84}\times 100=10.71$	11