Name______________________________________________ AP Statistics UNIT 1 Date______________________Period_____________ Section III: Notes 1.2 – Displaying Quantitative Data I. Displaying Quantitative Data Ways to Display Quantitative Data: Dotplots Histograms Stem and Leaf Box-and-Whisker (Boxplots) Describing Displays of Data: Symmetric Graph:____________________________________________________________________________________________________ __________________________________________________________________________________________________. Picture of a distribution skewed to the right: Picture of a distribution skewed to the left: You MUST have these addressed when you describe a distribution: SUCS The types of graphs above help you to identify the SUCS Shape Unusual data (including outliers) Center Spread of the distribution This is the general strategy for interpreting quantitative data. Shape: • Do the “humps” have a single, central hump or several separated humps? Humps = modes Describing shape: With one peak: ________________________ With two peaks: _______________________ With three or more: ________________________ Doesn’t appear to have any obvious mode: _________________________________ • Look at the mode: How many modes? Bimodal, etc.- give a description of the shape • Look for symmetry: Is the histogram symmetric? Direction of the skew • Tails: thinner end of the distribution. If one tail stretches out farther than the other end of the distribution, it is said to be skewed. • Skewed to the right (___________________________________________________________) • Skewed to the left (___________________________________________________________) • Classifications of Skewness: Strongly Skewed/ Moderately Skewed/ Slightly Skewed Unusual Data: • Outliers are stragglers: stand way off to the body of the distribution- can be the most informative part of your data, or it might just be an error. Center: • Best center for a skewed graph or a graph with outliers: _______________________________ - resistant to skewness and outliers Value is literally in the middle: half of the values below and half of the values above the center.
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Notes 1.2 Displaying Quantitative Data - Norwell High · PDF file• Any data above or below two standard deviations from the ... Constructing Displays for Quantitative Data Dot Plot
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