Sports Data Analyst — Statistics

Phase 1: Analyst Briefing

Meet your team and learn the statistics tools you'll use.

1

Welcome to Sports Analytics HQ

You've been hired as the lead data analyst for a professional sports organization. Your job is to analyze player and team performance data to help the coaching staff make smart decisions.

🏋 Your Mission

The coaching staff needs a full statistical report analyzing player performance across the season. You'll calculate mean, median, mode, and range, create data displays, and make recommendations based on your analysis. Your report will determine starting lineups and strategy!

In your own words, why is data analysis important in sports?

2

Statistics Vocabulary Review

Master these statistical measures before analyzing data.

📊

Mean (Average)

Add all values, then divide by the count. Data: 3, 5, 7 → Mean = (3+5+7) / 3 = 5

📉

Median (Middle)

The middle value when data is ordered. Data: 2, 5, 9 → Median = 5

📈

Mode (Most Common)

The value that appears most often. Data: 3, 5, 5, 7 → Mode = 5

📐

Range (Spread)

Maximum minus minimum. Data: 2, 5, 9 → Range = 9 - 2 = 7

Practice: Find the mean, median, mode, and range of: 4, 8, 6, 8, 4, 8, 10

Mean:

Median:

Mode:

Range:

First order the data: 4, 4, 6, 8, 8, 8, 10. Sum = 48, count = 7, so mean = 48/7. Median is the middle (4th) value. Mode is most frequent. Range = max - min.

📚 Support: Step 1: Order the data least to greatest. Step 2: Mean = add all then divide by how many. Step 3: Median = cross off from both ends until you reach the middle. Step 4: Mode = whichever number appears most. Step 5: Range = biggest - smallest.

3

Meet the Players

Review the performance data for the basketball team's top 8 players over the last 10 games.

Player	Points per Game (last 10)
🏀 Jordan M.	22, 18, 25, 20, 22, 28, 22, 19, 24, 20
🏀 Aisha T.	15, 12, 18, 14, 15, 11, 15, 16, 13, 15
🏀 Carlos R.	30, 8, 25, 12, 28, 10, 32, 14, 26, 15
🏀 Priya K.	16, 17, 15, 18, 16, 17, 16, 15, 17, 16

Just by looking, which player seems most consistent? Which seems most unpredictable?

Phase 2: Research & Calculate

Crunch the numbers for each player's statistics.

Statistics Calculator

4

Analyze Jordan M.

Jordan's points: 22, 18, 25, 20, 22, 28, 22, 19, 24, 20. Use the calculator or work by hand.

Order the data least to greatest:

Mean (show work):

Mean =

Median =

Mode =

Range =

Ordered: 18, 19, 20, 20, 22, 22, 22, 24, 25, 28. Sum = 220. With 10 values, median is average of 5th and 6th values.

📚 Support: Mean: 18+19+20+20+22+22+22+24+25+28 = 220. 220 ÷ 10 = 22. Median: average of 22 and 22 = 22. Mode: 22 (appears 3 times). Range: 28-18 = 10.

5

Analyze Aisha T.

Aisha's points: 15, 12, 18, 14, 15, 11, 15, 16, 13, 15

Order the data:

Mean =

Median =

Mode =

Range =

Show your work for the mean:

Ordered: 11, 12, 13, 14, 15, 15, 15, 15, 16, 18. Sum = 144. Mean = 14.4. Median = (15+15)/2 = 15. Mode = 15.

📚 Support: Add all 10 numbers. 11+12+13+14+15+15+15+15+16+18 = 144. Divide 144 by 10 = 14.4.

6

Analyze Carlos R.

Carlos's points: 30, 8, 25, 12, 28, 10, 32, 14, 26, 15

Order the data:

Mean =

Median =

Mode =

Range =

Carlos has the highest range. What does this tell you about his consistency?

Ordered: 8, 10, 12, 14, 15, 25, 26, 28, 30, 32. Sum = 200. Mean = 20. Median = (15+25)/2 = 20. No mode (all appear once). Range = 32-8 = 24.

7

Analyze Priya K.

Priya's points: 16, 17, 15, 18, 16, 17, 16, 15, 17, 16

Mean =

Median =

Mode =

Range =

Priya has the lowest range. What advantage does this give the coach?

Phase 3: Data Analysis & Comparison

Compare players and build data displays.

8

Player Comparison Summary

Fill in the comparison table with all your calculated statistics.

Player	Mean	Median	Mode	Range
Jordan M.
Aisha T.
Carlos R.
Priya K.

Who has the highest mean? What does that tell you?

Who is the most consistent? Which statistic helped you decide?

9

Best Measure of Center

Different situations call for different measures. Decide which is best for each scenario.

For choosing the starting player with the most overall points, would you use mean, median, or mode? Why?

Carlos scored 8 points in one game but usually scores much higher. Which measure best represents his typical performance: mean or median? Why?

A shoe company wants to know the most popular shoe size on the team. Which measure should they use?

🌟 Challenge: Create a data set of 7 numbers where the mean, median, and mode are all different values. Show your work.

10

Create a Bar Chart

Draw a bar chart comparing the mean points per game for all 4 players. Label your axes!

Color: Size:

Phase 4: Build Your Report

Create data displays, write recommendations, and finalize analysis.

11

Create a Dot Plot

Create a dot plot for Aisha's points data. Use the canvas to draw dots above each value on a number line.

Color:

What does your dot plot show about where most of Aisha's scores cluster?

12

Outlier Investigation

An outlier is a data value that's much higher or lower than the rest. Analyze Carlos's data for outliers.

Does Carlos's data have any outliers? Which values seem far from the rest?

If you removed Carlos's lowest score (8), what would his new mean be? (Sum of remaining 9 values divided by 9)

How does removing the outlier change the mean? Is the new mean more or less representative?

Without the 8: 10+12+14+15+25+26+28+30+32 = 192. 192 / 9 = 21.3. Compare to original mean of 20.

13

Coaching Recommendations

Use your data analysis to make recommendations to the coaching staff.

Starting lineup recommendation: Who should start and why? Use specific statistics.

If the team is behind by 20 points with 5 minutes left, who would you put in? Why?

Which player needs the most improvement in consistency? What training do you suggest?

🌟 Challenge: The team has a salary cap of $500,000. Jordan costs $200,000, Carlos $180,000, Aisha $120,000, Priya $100,000. Which 3 players maximize points per dollar? Show your reasoning.

14

Create Your Own Data Set

Invent stats for a 5th player. Design their scoring pattern to have specific statistical properties.

Player name and position:

Enter 10 game scores (your player should have a mean between 15-25):

Mean =

Median =

Mode =

Range =

How does your player compare to the other 4?

📚 Support: To get a mean of 20 with 10 scores, the total must be 200. Pick 10 numbers that add to 200. To have a mode, repeat at least one number.

15

Statistics in the Real World

Statistics are everywhere! Describe how each measure is used outside of sports.

Mean in real life:

Median in real life:

Mode in real life:

Phase 5: Present & Reflect

Finalize your analysis report and submit your findings.

16

Self-Assessment Rubric

Rate your skills honestly.

Skill	Beginning (1)	Developing (2)	Proficient (3)	Expert (4)
Calculating Mean	Needed help	Some errors	Accurate	Explained clearly
Median & Mode	Confused them	Found with hints	Found independently	Applied to decisions
Data Displays	Incomplete	Basic charts	Clear & labeled	Professional quality
Data Interpretation	No conclusions	Basic observations	Supported by data	Insightful analysis

17

Analyst Reflection

Which statistical measure was hardest for you? How did you overcome it?

When is the median a better measure of center than the mean?

How could you use statistics in your own life outside of school?

18

Final Score & Badges

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out of 100 points

📊

Rookie Analyst

📈

Data Cruncher

📉

Chart Builder

🏋

Lead Analyst

🏆

MVP Analyst

✔

Submit Your Report