Exploring One-Variable Data - Unit 1 Test

AP Statistics 2024

What two variables are there?

Categorical and Quantitative.

What would be considered Categorical?

Places individuals in categories + Can not find the average.

What would be considered Quantitative?

Numerical values + Makes sense to find the average.

What graphs are considered categorical variables?

1. Two-Way Table

2. Pie Chart

3. Bar Graph

4. Segmented

5. Side-by-side

What graphs are considered quantitative variables?

1. Histogram

2. Stemplot

3. Back-to-Back Stemplot

4. Boxplot

5. Dotplot

Boxplot

1. IQR (middle 50% of data)

2. 25% of data between each pair of numbers

3. Outlier

4. Min

5. Lower Quartile Q1

6. Median

7. Upper Quartile Q3

8. Max

Unimodal

Bimodal

Multimodal

Two-Way Tables

Frequency = Count

Relative Frequency = %

Conditional Distribution : A/B

Marginal Distribution : B/C

Measures of Center

1. Skewed Left

2. Symmetric

3. Skewed Right

MEDIAN IS RESISTANT… MEAN IS NOT

—> Mean is “pulled” by a tail MORE THAN the median.

Transforming Data

Add/Subtract:

Only Measures of Center

Multiply/Divide:

Measures of Center & Measures of Spread

Measures of Spread (a.k.a. Variability) - More & Less Spread

Measures of Spread (a.k.a. Variability) - Standard Deviation

Average distance from the mean.

Measures of Spread (a.k.a. Variability) - Interquartile Range (IQR)

IQR = Q3 - Q1

Middle 50% of data

Measures of Spread (a.k.a. Variability) - Variance % Standard D.

Variance = (St. Dev)²

St. Dev = square root Variance

IQR IS RESISTANT…STANDARD DEVIATION IS NOT.