Project 12 : Measures of averages and spread

 

Project 12 : Measures of Averages and spread

Math on the Move – Analyzing Marathon Data

🧠 Objective:

To understand and apply concepts of mean, median, mode, range, and data representation using real-life data from the Abbott World Marathon Majors Series

📚 Background:

A marathon is a long-distance race covering 42.195 km (26.2 miles). The World Marathon Majors include seven globally celebrated races:
Tokyo, Boston, London, Sydney, Berlin, Chicago, and New York City.

Each year, these races attract elite athletes and thousands of runners, creating a treasure trove of data!

                            

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📝 Your Task:

1.    Data Analysis
Use the data given below (or research online) to:

a) Calculate the Mean, Median, Mode, and Range of the winning times (in minutes) for Men and Women across the 7 World Marathon Majors (use 2023 or any consistent year).

b) Convert the winning times from minutes to hours and minutes format for better understanding.(optional)

Example data (can be expanded or modified):

Marathon	Men’s Time (min)	Women’s Time (min)
Tokyo	123	135
Boston	125	140
London	122	137
Sydney	127	144
Berlin	121	136
Chicago	120	134
New York City	126	139

2.    Graphical Representation
a) Create Bar Graphs for:

o   Men’s Winning Times

o   Women’s Winning Times

b) Optional: Make a line graph comparing Men’s and Women’s times across marathons.

3.    Interpret & Reflect
Answer the following:

o   Which marathon had the fastest average time?

o   Is there a greater variation in men’s or women’s times?

o   What does the range tell you about consistency in winning performances?

o   Why is it important to study averages and spread in real-life contexts like sports?

4.    Creative Angle (Optional Bonus)

o   Design a poster titled: “Math + Marathon = Motivation” showing how maths is used in sports (e.g., timings, distance, hydration tracking, pace calculation).

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📏 Learning Outcomes:

• Apply mathematical tools to real-life data.
• Develop graph-making and data interpretation skills.
• Enhance reasoning through comparison and reflection.

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📦 Submission Instructions:

• Work should be done neatly on seperate project file.
• Use rulers and color pencils for graphs.
• Write all calculations clearly and show working steps.

 Marking scheme (Total =50)

Criteria                                                          Marks

1. Accuracy of Calculations                                     10

2. Bar and Line Graphs                                             10

3. Interpretation & Reflection                                    10

4. Neatness & Organization                                        5

5. Creativity & Poster                                                  5+5

6. Preparedness & Participation                                5