# Problem of the Week Problem B and Solution The First Five Modern Olympics

## Problem

In August $$2024$$, Paris, France will host the Summer Olympic Games. The table below contains information about the sports that were at some of the first five modern Olympic Games.

Year Location Sports
$$1896$$ Athens, Greece athletics, road cycling, track cycling, fencing, gymnastics, shooting, swimming, tennis, weightlifting, wrestling
$$1900$$ Paris, France archery, athletics, Basque pelota, cricket, croquet, track cycling, equestrian, fencing, football, golf, gymnastics, polo, rowing, rugby, sailing, shooting, swimming, tennis, tug-of-war, water polo
$$1904$$ St. Louis, USA archery, athletics, boxing, track cycling, diving, fencing, football, golf, gymnastics, lacrosse, roque, rowing, swimming, tennis, tug-of-war, water polo, weightlifting, wrestling
$$1908$$ London, England archery, athletics, boxing, track cycling, diving, fencing, figure skating, football, field hockey, gymnastics, jeu de paume, lacrosse, polo, rackets, rowing, rugby, sailing, shooting, swimming, tennis, tug-of-war, water motorsports, water polo, wrestling
$$1912$$ Stockholm, Sweden athletics, road cycling, diving, equestrian, fencing, football, gymnastics, modern pentathlon, rowing, sailing, shooting, swimming, tennis, tug-of-war, water polo, wrestling
1. Create a graph that displays the number of sports in each of the first five modern Olympic Games.

2. State five observations/conclusions from your graph.

## Solution

1. Answers may vary. A bar graph displaying this information is shown below.

2. Observations gleaned from the graphs will vary. Here are some possible observations.

• The fewest number of sports occurred in the year $$1896$$.

• The most number of sports occurred in the year $$1908$$.

• Other than $$1896$$ and $$1908$$, there were about the same number of sports (between $$16$$ and $$20$$).

• The number of sports doubled from $$1896$$ to $$1900$$.

• $$18$$ is the median number of sports. (Since there are five bars, the third highest bar is the median.) This occurred in the year $$1904$$.

• There doesnâ€™t seem to be a steady increase in the number of events, so it would be hard to predict how many events future games would hold.