Real-World Examples
See how statistics and probability are used in everyday scenarios. Each example includes interactive calculations you can try yourself.
IQ Test Score Analysis
Determine what percentile a student falls into based on their IQ score.
Scenario: A student scores 125 on an IQ test. What percentage of people scored lower?
Quality Control in Manufacturing
Analyze product dimensions to identify defects and outliers.
Scenario: A factory produces bolts with mean length 10cm (±0.2cm SD). Which bolts are defects?
Drug Efficacy Testing
Calculate the probability that a treatment works better than placebo.
Scenario: If a drug has 70% success rate, what's the chance at least 8 out of 10 patients improve?
Student Grade Distribution
Visualize how grades are distributed across a class.
Scenario: Analyze test scores: 65, 72, 78, 85, 88, 92, 95, 98. What's the distribution shape?
Salary Percentile Calculator
Find out where your salary ranks compared to others in your field.
Scenario: You earn $75,000. If average is $60,000 (SD $12,000), what percentile are you in?
Medical Test False Positives
Use Bayes' theorem to calculate the probability of having a disease given a positive test.
Scenario: Test is 95% accurate, disease affects 1% of population. You test positive—what's the actual risk?
Customer Age Distribution
Analyze customer demographics to understand your target market.
Scenario: Your customers are aged: 22, 25, 28, 45, 48, 52, 65, 68. Identify age segments.
Research Sample Size
Calculate how many participants you need for statistically valid results.
Scenario: Survey 100 people. If 60% agree, what's the probability this reflects the true population?
Product Defect Rate
Calculate the expected number of defective items in a batch.
Scenario: If 2% of products are defective, what's the chance of finding 0 defects in 50 items?
Height Percentiles for Children
Determine if a child's growth is within normal range.
Scenario: A 10-year-old is 145cm tall (mean 140cm, SD 6cm). What percentile are they in?
Lottery Odds Calculation
Calculate the probability of winning various lottery combinations.
Scenario: Pick 6 numbers from 49. What are your odds of winning?
Website A/B Test Results
Analyze if changes to your website significantly improved conversions.
Scenario: Version A: 120/1000 conversions. Version B: 145/1000. Is this significant?
Exam Score Prediction
Predict what score you need to reach a certain percentile.
Scenario: Class average is 75 (SD 10). What score do you need to be in the top 10%?
Stock Price Volatility
Analyze stock price movements to understand risk.
Scenario: Stock prices over 30 days show SD of $5. What's the probability it moves $10+ tomorrow?
Survey Response Analysis
Analyze survey results to find trends and outliers.
Scenario: Customer satisfaction scores (1-10): Find outliers and calculate average satisfaction.
Want to explore more?
Check out all our interactive calculators and start analyzing your own data.
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