Key Takeaways
Lesson Description
Key Takeaways
• Numerical summaries describe the center, spread, and shape of a distribution.
• Mean and median measure center, while standard deviation and IQR measure variability.
• Outliers can greatly affect the mean but have less effect on the median.
• Histograms, boxplots, dotplots, and stemplots visualize distributions.
• Distributions can be symmetric, skewed left, skewed right, or approximately normal.
Must Know Equations
Mean:
x̄ = Σx / n
Range:
Maximum − Minimum
IQR:
Q3 − Q1
Standard Deviation:
s = √[Σ(x−x̄)²/(n−1)]
Must Know Vocabulary
Mean
Median
Mode
Range
IQR
Standard Deviation
Outlier
Skewness
Distribution
AP Exam Focus
• Interpret graphs of distributions.
• Compare distributions using center, spread, shape, and outliers (SOCS).
• Choose appropriate summary statistics.