AP Statistics

Advanced Placement Statistics covering data analysis, probability, and statistical inference.

Basic Concepts

Exploring Data: Describing Patterns and Departures

Understanding Data Patterns

Data analysis starts with looking for patterns, trends, and outliers in data sets. This involves creating visual representations like histograms, boxplots, and scatterplots, which help us make sense of numbers.

Measures of Center and Spread

Two key concepts are center (mean, median, mode) and spread (range, interquartile range, standard deviation). These help summarize what is typical and how much the data varies.

  • Mean: The average value.
  • Median: The middle value when data is sorted.
  • Range: Difference between the highest and lowest values.
  • Standard Deviation: A measure of how spread out the data is.

Visualizing Data

Graphs are powerful! Histograms show the frequency of data in bins, boxplots display quartiles and outliers, and scatterplots show relationships between two variables.

Real-World Impact

Spotting trends in data helps businesses set prices, scientists spot climate changes, and doctors track patient health!

Examples

  • A school uses a histogram to analyze students' test scores and find if most students pass or fail.

  • A doctor looks at a boxplot of patient ages to understand the age range of her patients.

In a Nutshell

Learn how to summarize, visualize, and describe data to spot trends and outliers.

Key Terms

Outlier
A value that is much higher or lower than most of the data.
Histogram
A graph showing how often each range of values occurs in a dataset.
Standard Deviation
A measure of how spread out the numbers in a dataset are.