Difference between revisions of "AP Statistics Curriculum 2007 EDA Freq"

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===Definitions===
 
===Definitions===
 
* A '''frequency distribution''' is a display of the number (frequency) of occurrences of each value in a data set.
 
* A '''frequency distribution''' is a display of the number (frequency) of occurrences of each value in a data set.
* A '''relative frequency''' distribution is a display of the percent (ratio or frequency to sample-size) of occurrences of each value in a data set.
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* A '''relative frequency''' distribution is a display of the percentage (ratio or frequency to sample-size) of occurrences of each value in a data set.
* A [http://en.wikipedia.org/wiki/Percentile percentile] is the <u>value</u> of a variable that divides the real line into two segments - the left one containing certain percent (say 13%) of the observations for the specific process, and the right interval containing the complementary percentage of observations (in this case 87%).  The 30<sup>th</sup> percentile is the value (measurement) bound above 30% and below 70% of the observations from a process.   
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* A [http://en.wikipedia.org/wiki/Percentile percentile] is the <u>value</u> of a variable that divides the real line into two segments - the left one containing certain percentage (say 13%) of the observations for the specific process, and the right interval containing the complementary percentage of observations (in this case 87%).  The 30<sup>th</sup> percentile is the value (measurement) bound above 30% and below 70% of the observations from a process.   
 
* The (three) '''quartiles''' are the special cases of percentiles for Q<sub>1</sub>=25%, Q<sub>2</sub>=50% (median) and Q<sub>3</sub>=75%.
 
* The (three) '''quartiles''' are the special cases of percentiles for Q<sub>1</sub>=25%, Q<sub>2</sub>=50% (median) and Q<sub>3</sub>=75%.
  
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===Hands-on activities===
 
===Hands-on activities===
You can copy and paste the first 2 columns in the data table above in the [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] (BarChart --> XYPlot --> HistogramDemo7). You can see [[SOCR_EduMaterials_Activities_Histogram_Graphs | this SOCR Charts activity]] for help with histogram plots.
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You can copy and paste the first 2 columns in the data table above in the [http://socr.umich.edu/html/cha/ SOCR Charts] (BarChart --> XYPlot --> HistogramDemo7). You can see [[SOCR_EduMaterials_Activities_Histogram_Graphs | this SOCR Charts activity]] for help with histogram plots.
 
* The graph below illustrates the (raw) frequency histogram (using counts)
 
* The graph below illustrates the (raw) frequency histogram (using counts)
 
<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig1.jpg|500px]]</center>
 
<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig1.jpg|500px]]</center>
  
* The graph below show the relative frequency histogram (using the last column of the table above).
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* The graph below shows the relative frequency histogram (using the last column of the table above).
  
 
<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig2.jpg|500px]]</center>
 
<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig2.jpg|500px]]</center>
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<hr>
 
<hr>
* SOCR Home page: http://www.socr.ucla.edu
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* SOCR Home page: http://www.socr.umich.edu
  
{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=AP_Statistics_Curriculum_2007_EDA_Freq}}
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{{translate|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_EDA_Freq}}

Latest revision as of 12:10, 6 March 2014

General Advance-Placement (AP) Statistics Curriculum - Summarizing data with Frequency Tables

Summarizing data with Frequency Tables & Histograms

There are two ways to describe a data set (sample from a population) - Pictorial Graphs or Tables of Numbers. Both are important for analyzing data.

Definitions

  • A frequency distribution is a display of the number (frequency) of occurrences of each value in a data set.
  • A relative frequency distribution is a display of the percentage (ratio or frequency to sample-size) of occurrences of each value in a data set.
  • A percentile is the value of a variable that divides the real line into two segments - the left one containing certain percentage (say 13%) of the observations for the specific process, and the right interval containing the complementary percentage of observations (in this case 87%). The 30th percentile is the value (measurement) bound above 30% and below 70% of the observations from a process.
  • The (three) quartiles are the special cases of percentiles for Q1=25%, Q2=50% (median) and Q3=75%.

Example

The table below shows the stage of disease at diagnosis of breast cancer in a random sample of 2092 US women.

Stage Frequency Relative Frequency
0 197 0.09
I 691 0.33
II 703 0.34
III 314 0.15
IV 187 0.09
Total 2092 1.00

Computational Resources: Internet-based SOCR Tools

  • SOCR Charts allows you to generate graphical representations (including frequency histograms) of a variety of datasets.
  • The SOCR Charts activities provide usage-instructions, examples and demonstrations of how to use SOCR Charts.

Hands-on activities

You can copy and paste the first 2 columns in the data table above in the SOCR Charts (BarChart --> XYPlot --> HistogramDemo7). You can see this SOCR Charts activity for help with histogram plots.

  • The graph below illustrates the (raw) frequency histogram (using counts)
SOCR EBook Dinov EDA 012708 Fig1.jpg
  • The graph below shows the relative frequency histogram (using the last column of the table above).
SOCR EBook Dinov EDA 012708 Fig2.jpg

Problems


References




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