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AP Statistics - 45 Key Concepts

Prepare for AP Statistics with 45 flashcards covering data analysis, probability, inference, and regression.

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Front

What does a right-skewed distribution indicate about the relationship between the mean and median?

Back

Mean > Median The tail pulls the mean toward the higher values.

Front

Standard Deviation

Back

The average distance of data points from the mean Measures the spread or variability of a quantitative dataset.

Front

Z-score formula

Back

z = (x - μ) / σ Indicates how many standard deviations a value is from the mean.

Front

Interquartile Range (IQR)

Back

Q3 - Q1 Represents the range of the middle 50% of the data.

Front

The 1.5 x IQR Rule for Outliers

Back

Values < Q1 - 1.5(IQR) or > Q3 + 1.5(IQR) Used to identify potential outliers in a boxplot.

Front

What are the five numbers in a Five-Number Summary?

Back

Min, Q1, Median, Q3, Max Provides a quick numerical description of a distribution's center and spread.

Front

Difference between a Bar Chart and a Histogram

Back

Bar charts are for categorical data; Histograms are for quantitative data Bars touch in a histogram to show intervals of continuous data.

Front

Categorical vs. Quantitative Data

Back

Categorical: labels/groups; Quantitative: numerical measurements Examples: Eye color (categorical) vs. Height in cm (quantitative).

Front

Effect of adding a constant to every value in a dataset

Back

Shifts center (mean/median) but leaves spread (SD/IQR) unchanged Adding 5 to every score increases the mean by 5.

Front

Cumulative Relative Frequency Graph (Ogive)

Back

Shows the running total of relative frequencies Used to determine percentiles for specific values.

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