Collecting Data
Learn the different methods of collecting data and how to choose the right approach for your research question.
Definition
- Population: The entire group you want to learn about
- Sample: A smaller group selected from the population
- Variable: What you are measuring or counting
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Worked Examples
A school wants to know what new clubs students would join. How should they collect this data?
Define the population
All students at the school (let's say 500 students) → Population = 500 students
Choose a sampling method
Random sampling: Select 50 students using random number generator → Sample size = 50 (10% of population)
Design the survey question
Which of these clubs would you be interested in joining? (Check all that apply): Drama, Robotics, Art, Music, Debate → Multiple choice question with clear options
Plan data collection
Give survey during homeroom to avoid bias from time of day or class subject → Consistent collection method
Answer: Use a random sample of 50 students with a multiple-choice survey administered during homeroom.
Common Mistakes
Using a convenience sample instead of a random sample
Why it's wrong: Surveying only your friends or people near you creates bias. Your sample won't represent the whole population.
Correct: Use random selection methods: draw names from a hat, use a random number generator, or select every nth person from a list.
Asking leading or biased questions
Why it's wrong: Questions like 'Don't you agree that...' or 'How much do you love...' push people toward certain answers.
Correct: Use neutral wording: 'What is your opinion about...' or 'How would you rate...' with balanced options.
Collecting too little data
Why it's wrong: Small samples are unreliable. Flipping a coin 5 times might give 4 heads, but 100 flips will be closer to 50-50.
Correct: Aim for sample sizes of at least 30-50 for basic studies. Larger samples give more reliable results.
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Practice Problems
16 problemsWhich of the following is a method of collecting data?
Why It Matters
- Science: Researchers collect data to test theories about medicine, climate, and technology
- Business: Companies survey customers to improve products and services
- Government: Census data determines funding for schools, hospitals, and roads
- Sports: Teams analyze player statistics to make strategic decisions
- Healthcare: Doctors use patient data to diagnose conditions and track treatments
Real World Applications
Medical Research
Pharmaceutical companies test new medications using carefully designed experiments called clinical trials.
Example:
To test a new headache medicine, researchers randomly assign 1000 patients to receive either the new medicine or a placebo. They collect data on pain relief, side effects, and recovery time.
A study tests a new vitamin. Group A (100 people) takes the vitamin, Group B (100 people) takes a placebo. After 30 days: Group A: 72 feel better, Group B: 51 feel better.
What percentage of each group felt better?
Step 1: Write the mathematical expression
Calculate: Group A = 72/100, Group B = 51/100
Market Research
Companies use surveys and focus groups to understand customer preferences before launching products.
Example:
A phone company surveys 2000 randomly selected customers to find out which features matter most: camera quality, battery life, screen size, or price.
Survey results: Camera 550, Battery 480, Screen 370, Price 600 (total 2000 responses)
What percentage of customers prioritize price?
Step 1: Write the mathematical expression
Calculate: 600/2000
Key Takeaways
- 1Data collection methods include surveys, observations, and experiments
- 2The population is the entire group; a sample is a subset used for study
- 3Random sampling helps ensure your sample represents the population
- 4Good questions are clear, unbiased, and offer appropriate answer choices
- 5Larger samples generally produce more reliable and accurate results
Frequently Asked Questions
Glossary
- Population
- The entire group that you want to learn about or make conclusions about
- Sample
- A subset of the population that is actually measured or surveyed
- Random sample
- A sample where every member of the population has an equal chance of being selected
- Bias
- A systematic error that makes results favor one outcome over others
- Survey
- A method of collecting data by asking people questions
- Variable
- A characteristic or quantity being measured or counted