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Section 2.2. More Graphs and Displays. Stem-and-Leaf Plots. Each number is separated into a STEM and LEAF component. The STEM is the leftmost digit(s). The LEAF is the rightmost digit. It’s important to include a key to identify values. For example… Key: 15 | 5 = 155.

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section 2 2
Section 2.2

More Graphs and Displays

stem and leaf plots
Stem-and-Leaf Plots
  • Each number is separated into a STEM and LEAF component.
  • The STEM is the leftmost digit(s).
  • The LEAF is the rightmost digit.
  • It’s important to include a key to identify values. For example… Key: 15 | 5 = 155
make a stem and leaf plot
Make a stem-and-leaf plot:
  • Ages of the top 30 highest paid CEOs (Forbes Magazine).
pie chart for qualitative data
Pie Chart (for Qualitative Data)
  • A circle divided into sectors that represent categories.
  • The area of each sector is proportional to the frequency of the category.
  • Find RELATIVE Frequency and multiply by 360o to get the central angle for each category.
use a pie chart to display data
Use a Pie Chart to display data
  • 2010 NASA budget request (in millions of dollars)
pareto chart for qualitative data
Pareto Chart (for Qualitative Data)
  • Vertical bar graph in which the height of each bar represents the frequency or relative frequency.
  • Bars are positioned in order of decreasing height, left to right.
  • EX: Make a Pareto chart
  • Ultraviolet indices for 5 cities at noon:
scatter plot for paired data sets
Scatter Plot (for Paired Data Sets)
  • Paired data  Ordered pairs.
  • Plot on a coordinate plane.
  • Independent variable on the x-axis.
section 2 3
Section 2.3

Measures of Central Tendency

measure of central tendency
Measure of Central Tendency:
  • A value that represents a typical, or central, entry of a data set.
  • 3 most common are MEAN, MEDIAN, and MODE
median
MEDIAN
  • The data entry in the MIDDLE.
  • List data from least to greatest.
  • Find the middle value.
  • (For even n, find the average of the 2 middle values)
slide14
MODE
  • Data entry that occurs MOST often (highest frequency)
    • A data set may have no mode or have more than mode.
    • BIMODAL = 2 modes.
shapes of distributions
Shapes of Distributions
  • Distributions may look ..
    • Symmetric
    • Uniform
    • Skewed Left
    • Skewed Right