1. Other Types of Graphs Section 2.4

2. Objectives Represent data using Pareto charts*, time series graphs, and pie graphs Draw and interpret a stem & leaf plot

3. Purpose of Statistical Graphs To convey the data to the viewers in pictorial form – It is easier for most people to comprehend the meaning of data presented as a picture than data presented as a table. This is especially true if the viewers have little or no statistical knowledge To describe the data set To analyze the data set (Distribution of data set) To summarize a data set To discover a trend or pattern in a situation over a period of time To get the viewers’ attention in a publication or speaking presentation

4. What is a Pareto Chart? Used to represent a frequency distribution for a categorical variable and the frequencies are displayed by the heights of the contiguous vertical bars, which are arranged in order from highest to lowest.

5. How do I create a Pareto Chart from a categorical frequency distribution? STEP 1: Draw the x- and y-axes STEP 2: Label the x-axis using the qualitative categories (highest frequency to lowest frequency) STEP 3: Label the y-axis using an appropriate scale that encompasses the high and low frequencies STEP 4: Draw the contiguous vertical bars

6. Example NursingBusiness AdminEducation Computer Info SystemsPolitical ScienceArt General StudiesNursingEducation PsychologyBusiness Admin PsychologyBusiness AdminGeneral Studies History General Studies EducationComputer Info SystemsNursing EducationGeneral StudiesEducation History

7. Class (Major)FrequencyPercentage Art13.6% Business Administration 310.7% Computer Info Systems 27.1% Education621.4% General Studies621.4% History414.3% Nursing310.7% Political Science13.6% Psychology27.1% TOTAL28100%

8. Other Types of Graphs Time Series Graph represents data that occur over a specific period of time Line graph When analyzing a time series graph, look for a trend or pattern that occurs over time

9. Other Types of Graphs Pie Graph is a circle that is divided into sections or wedges according to the percentage of frequencies in each category of the distribution. Show relationship of the parts to the whole

10. Other Types of Graphs Stem & Leaf Plot – Method for organizing data – Combination of sorting and graphing – Original Data is retained unlike with a grouped frequency distribution – Is a data plot that uses part of the data value as the “stem” (usually digit in highest place value position) and part of the data as the “leaf” to form groups or classes – When analyzing a stem & leaf plot, look for peaks and gaps in the distribution. Consider the shape of the distribution

11. Other Types of Graphs Dotplot* (not in text) – Graph in which each data value is plotted as a point (or dot) along a single horizontal scale of values. – Dots representing equal values are stacked – Original data is retained – Look for peaks and gaps in the distribution. Consider the shape of the distribution

12. Exam #1 Scores in Mrs. Ralston’s Math 1111 classes in Fall 2008 39 4041435059 616364 65 66 6870 7173 75 76777879 80 81 828384 8586 878889 90 91 9294 9596 98 99 100

13. Assignment