# Lecture 2 - Charts&Graphs Lecture2 LearningObjectives...

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Charts & Graphs Lecture 2

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Learning Objectives Recognise  the difference between grouped  and ungrouped data Construct  a frequency distribution Construct  a histogram, a frequency polygon,  an ogive, a pie chart, a stem and leaf plot, a  Pareto chart, and a scatter plot
Ungrouped Versus  Grouped Data Ungrouped data   are also called Grouped data   A frequency distribution is

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Example of  Ungrouped Data Monthly unemployment rates  for Australia over 40 months  from 2002 to 2005 7.1 7.0 6.9 6.7 6.7 6.6 6.5 6.5 6.4 6.4 6.4 6.4 6.5 6.5 6.5 6.5 6.5 6.4 6.3 6.2 6.1 6.0 5.9 5.9 5.8 5.8 5.8 5.8 5.7 5.7 5.6 5.5 5.4 5.3 5.2 5.2 5.1 5.1 5.1 5.1
Frequency Distribution of Monthly  Unemployment Rates for  Australia Class Interval Frequency (5.0, 5.4] (5.4, 5.8] (5.8, 6.2] (6.2, 6.6] (6.6, 7.0] (7.0, 7.4]

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Data Range largest smallest 7.1 7.0 6.9 6.7 6.7 6.6 6.5 6.5 6.4 6.4 6.4 6.4 6.5 6.5 6.5 6.5 6.5 6.4 6.3 6.2 6.1 6.0 5.9 5.9 5.8 5.8 5.8 5.8 5.7 5.7 5.6 5.5 5.4 5.3 5.2 5.2 5.1 5.1 5.1 5.1 Range = Largest- Smallest = =
Number of Classes and  Class Width The number of classes should be between 5 and 15. Fewer than 5 classes More than 15 classes Class Width     (5.4, 5.8] means that the lower end is NOT included in this class  interval, but the upper end IS included Approximate Class Width =     = 0.33 2 6 Class Width = 0.4

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Class Midpoint 5.2   = 2 5.4   +   5.0   = 2 endpoint   class   ending + endpoint   class   beginning   =    Midpoint Class ( 29 5.2   = 0.4 2 1   +   5.0   =  width class 2 1   +   point   beginning   class   =    Midpoint Class
Relative Frequency     Relative Relative Class Interval Frequency Frequency (5.0, 5.4]  8   .200 (5.4, 5.8]  8   .200 (5.8, 6.2]  5    (6.2, 6.6] 14    (6.6, 7.0]  4    (7.0, 7.4]  1   .025  Total  40 1.000 = 40 8 = 40 8

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Cumulative Frequency                               Cumulative Class Interval Frequency Frequency (5.0, 5.4] 8 8 (5.4, 5.8] 8 16 (5.8, 6.2] 5 21 (6.2, 6.6] 14 (6.6, 7.0] 4 (7.0, 7.4]  1   Total 40 8 + 8 16 + 5
Class Midpoints, Relative Frequencies,  and Cumulative Frequencies                 Relative          Cumulative Class Interval Frequency Midpoint Frequency Frequency (5.0, 5.4] 8 (5.4, 5.8] 8 (5.8, 6.2] 5 (6.2, 6.6] 14 (6.6, 7.0] 4 (7.0, 7.4]  1                          Total 40 1.00

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