80 POINTS BRAINLIES !!!

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ANSWER A THROUGH J

a) Which country had the lowest number of overall medals among the ten countries?

b) Which country/countries competed in the least number of games?

c) What is the mode in the number of games countries participated in?

d) What is the range between the gold medals awarded to the 10 countries?

e) How many countries got more silver medals than bronze medals?

f) Apart from the United States, which country/countries got more gold medals, more silver medals and more bronze medals than Great Britain?

g) In comparing the number of games a country participated in and the overall number medals received, which country did the best (ie highest number of metals recived per game )?
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h) Using the given Data, give TWO likely reasons why a country like Jamaica does not feature in the top 10 medals even though it does very well in athletics.


i) Using the given information, determine the medal category in which the United states far outperformed its closest competitor.
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j) Which 3 countries had the most evenly distributed number of goals. Silver and bronze medals (i.e. least smallest range)?
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PLEASE HELP DUE TODAY!! THANK YOU.

a) Hungary had the lowest total medal count at 491

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b) It's a tie between China and the Soviet Union with 10 games per country.

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c) The mode is 27 since it is the most frequent value in the "total games" column. The mode is not necessarily the largest or smallest value. It's simply the value that shows up the most. It is possible to have more than one mode, but in this case 27 shows up the most times and no other value ties it. The value 27 shows up three times with the countries Italy, Sweden, and the United States

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d) The range is 875. To find the range, subtract the largest value (max) and the smallest value (min). So we have range = max - min = 1022 - 147 = 875.

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e) Answer: 4

List of countries that got more silver than bronze = {China, Great Britain, Soviet Union, United States}

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f)

List of countries that got more gold, silver, and bronze compared to Great Britain

{Germany, Soviet Union}

So only two other countries fit the criteria

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g)

Answer: The Soviet Union had the most medals per game (around 112 medals per game)

Work Shown:

For each row, divide the total medal count (in column F) by the number of games (in column B)

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h)

The country is likely not large enough to participate in enough games, especially when compared to larger countries. They may be specialized in just one or two events, or one or two categories of events.

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i)

Answer: Gold Medal (vs Soviet Union)

The United States has a total medal count of 2520. The closest competitor is the Soviet Union at 1122

To compare which category (gold, silver, bronze) the US did better at, we'll divide each corresponding medal count for the two countries. We'll have the Soviet Union's count as the numerator and the US as the denominator.

Gold = 440/1022 = 0.4305

Silver = 357/794 = 0.4496

Bronze = 325/704 = 0.4616

The lowest result is one where the US performed best at. The gold percentage is 43.05% meaning the Soviet Union's gold count is roughly 43.05% of the US gold count

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j)

Answer: Hungary, Italy, Sweden

Explanation:

You'll subtract the min and max for each row to get the range for each country. Sort the ranges from smallest to largest to see the top three countries that have the smallest range.

For example, Australia's highest medal count is at 187 (bronze) and lowest medal count at 147 (gold) so the range here is 187-147  = 40.

The various answers for each of the sections are answered below;

A) Looking at the table on the seventh column, we see that the lowest number of overall medals is 491 and it is gotten by the country Hungary.

B) Looking at the third column of the table, the least number of games a country participated is 10 and there are two countries with that number namely China and the Soviet Union.

C) Mode simply means the most frequently occurring number or event. In this case, under the third column, the most occurring number is 27 games.  

D) Formula for range is;

Range = Highest value - Least Value

Under the Gold Medal Column, highest value is 1022 and least value is 147. Thus;

Range = 1022 - 147

Range = 875.

E) Comparing the Silver and Gold gotten by each country, we can see that the countries that got more silver than bronze medals are; China, Great Britain, Soviet Union, United States. This is a total of 4 Countries.

F) Looking at the table, the only countries that got more gold, silver, and bronze respectively than Great Britain are Germany and Soviet Union.

G) For each country, to get their medals per game rate, we will just divide their medal total by the number of games in which they participated. Thus;

 Australia = 497/26 ≈ 19  

China = 543/10 ≈ 54

France = 713/28 ≈ 25

Germany = 937/24 ≈ 39

Great Britain = 847/28 ≈ 30

Hungary = 491/26 ≈ 19

Italy = 577/27 ≈ 21

Soviet Union = 1122/10 ≈ 112

Sweden = 494/27 ≈ 18

United States = 2520/27≈ 93

Country with most medals per game is Soviet Union with approximately 112 medals per game

H)  Two reasons why a country like Jamaica that is very good in athletics does not feature on the table is because;

- The country is not big enough to participate in many events

- The number of medals in Athletics is nowhere near the total for other events in the Olympic games.

I) The medal category in which the united states far outperformed its closest competitor is in the Gold medal category because the united states had a gold medal count of 2520 while the soviet union had 440 and thus the difference between both Gold medal counts will produce the highest range.

J) The 3 countries had the most evenly distributed number of Gold, Silver and bronze medals are;

Italy with a range of 13

Hungary with a range of 14

Great Britain with a range of 23

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