2.2 ORGANIZING QUANTITATIVE DATA OBJECTIVE: GRAPH QUANTITATIVE DATA Chapter 2

Review Popular Displays of Qualitative Data Bar Graphs Pie Charts Pareto Charts Side-by-side Bar Graphs

Representing Quantitative Data Discrete Data vs. Continuous Data Discrete can be actualContinuous must be in classes data or classes Frequency Table Relative Frequency Table Histograms Stem-and-Leaf Plot Dot Plot

Classes of Data Lower class limit Upper class limit Class width Open ended AgeNumber 20 – – – – and older 110

Practice 24,02830,64124,29322,12329,79830,507 36,72628,96042,34527,61026,35627,837 23,58430,06325,92926,40927,03323,567 23,88925,90032,63734,57027,27530,397 21,67726,31723,52827,86528,18831,251 35,41123,30131,52725,30726,90226,684 24,16926,10228,55728,36523,75327,149 26,31426,92222,58127,75029,68330,288 22,25227,50829,600

Organizing the Data 1. Input data. 2. Set classes. 3. Construct a frequency chart. 4. Construct a relative frequency chart. 5. Construct a histogram using the TI 83.

Shape of Distribution Uniform Bell Skewed Right Skewed Left

Assignment Page 887, 8, 11a, b, d, e, 12a – d, 13, 15, 22, 32a – e, 37, 43, 46

2.3 More Ways to Graph Obj: Graph data with polygons and ogives Frequency Polygon plot a point above each class midpoint equal to its frequency, then connect the dots Cumulative Frequency Distribution add frequency of each consecutive class Cumulative Relative Frequency Distribution add relative frequency of each consecutive class

Practice The following is the number (in millions) of people by age who are covered by health insurance. 25 – – – – Construct a cumulative frequency distribution chart, a cumulative relative frequency distribution chart, and a frequency polygon.

Ogives Frequency Ogive line graph that connects points whose coordinates are (upper class limit, frequency) Relative Frequency Ogive line graph that connects points whose coordinates are (upper class limit, relative frequency)

Practice Using the same data as before, construct a frequency ogive and a relative frequency ogive. 25 – – – –

Time-Series Plot -a line graph whose horizontal axis is measured in time (hours, months, years) and whose vertical axis is corresponding value at each time

2.4 Misrepresentations Obj: Identify misrepresentations and correct them The most common misrepresentation is caused by vertical axis scaling. Another common misrepresentation is caused when using pictures.

Good Graphics 1. Label the graph clearly. 2. Avoid distortion. 3. Avoid three dimensions. 4. Do not use more than one design in the same graphic.

Assignment 2.3 page 1018, 13, 17, page 1071 – 4, 8 – 11 Project 1