Statistics

Study of data collection, analysis, interpretation, and presentation.

Types of DataCollecting DataDescribing Data: Charts and Summaries
Probability and RandomnessStatistical InferenceCorrelation and Causation
Sports and PerformanceHealth and MedicineBusiness and Marketing
Breaking Down ProblemsChecking Your Work
Types of DataCollecting DataDescribing Data: Cha...Probability and Rand...Statistical Inferenc...Correlation and Caus...Sports and Performan...Health and MedicineBusiness and Marketi...Breaking Down Proble...Checking Your Work
Advanced Topics

Probability and Randomness

Exploring Probability

Probability is the study of chance. It helps us predict how likely something is to happen, from rolling dice to forecasting rain!

Calculating Probability

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes:

\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]

Randomness in Data

In statistics, randomness means outcomes happen by chance and can't be exactly predicted.

Real-World Applications

  • Weather forecasts use probability to predict rain.
  • Game designers use randomness to make games exciting.

Key Formula

\[P(\text{event}) = \frac{\text{favorable outcomes}}{\text{total outcomes}}\]

Examples

  • The probability of flipping a coin and getting heads is 0.5.

  • Predicting the chance of rain tomorrow based on weather data.

In a Nutshell

Probability measures the chance of events happening.

Key Terms

Probability
A measure of how likely an event is to occur.
Randomness
Events occurring by chance, without a predictable pattern.
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Statistical Inference