Scenario: Sports Statistics - Learn to collect and organize data through basketball team analysis!
You're the team statistician for a basketball team. You need to collect and organize data about the team's performance to help the coach make decisions. The team played 10 games and you have the following scores: 45, 52, 38, 61, 47, 55, 42, 58, 49, 51.
Data Collection Challenge:
Organize the team's scores and create a frequency table to analyze performance patterns.
Game Scores: 45, 52, 38, 61, 47, 55, 42, 58, 49, 51
This is the raw data that needs to be organized and analyzed.
Data you collect yourself
Examples: Surveys, experiments, observations
Data collected by others
Examples: Books, websites, reports
Asking questions to gather information
Watching and recording events
Testing hypotheses under controlled conditions
Frequency Table: A table that shows how often each value appears in a data set.
It helps organize data and makes patterns easier to see.
Let's organize the basketball scores: 45, 52, 38, 61, 47, 55, 42, 58, 49, 51
| Score Range | Tally | Frequency |
|---|---|---|
| 35-40 | | | 1 |
| 41-45 | || | 2 |
| 46-50 | || | 2 |
| 51-55 | ||| | 3 |
| 56-60 | || | 2 |
Step 1: Collect the raw data
Gather all the scores: 45, 52, 38, 61, 47, 55, 42, 58, 49, 51
Step 2: Determine the range
Range = 61 - 38 = 23 points
Step 3: Choose appropriate intervals
Use 5-point intervals: 35-40, 41-45, 46-50, 51-55, 56-60
Step 4: Count frequencies
Count how many scores fall in each interval
Organize these test scores into a frequency table: 78, 85, 92, 78, 88, 95, 82, 90, 78, 87
Your frequency table:
A school wants to know students' favorite subjects. What data collection method would you recommend and why?
Your recommendation: