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The packet defines key concepts such as individuals and variables, distinguishes categorical versus quantitative variables, and explains how distributions describe what values a variable takes and how often. Examples using class surveys (census-style data), radio station frequency and relative frequency tables, and two-way tables (gender vs. chance opinions) guide students to identify variable types and interpret patterns.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/ap-statistics-summer-work-unit-1-exploring-data/314476/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/ap-statistics-summer-work-unit-1-exploring-data/314476.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are individuals and variables in a statistics dataset?","Question",{"text":112,"@type":113},"Individuals are the objects described by a set of data. Variables are the characteristics measured on each individual.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you tell whether a variable is categorical or quantitative?",{"text":117,"@type":113},"Categorical variables place individuals into groups and are typically words. 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By completing this unit over the summer we will have close to a month to review in April and May before the AP exam. When we return to school in the fall we will spend the first class period reviewing the packet and answering any questions you have. You will have a test over this packet the second class period of the new year and I will collect your work for this packet at that time.  \nUnit 1 – Exploring Data  \nIntroduction  \nStatistics is the science of data. The volume of data available to us can be overwhelming. In many cases, the data is trying to tell us a story. To hear what the data re saying, we need to help them speak by organizing, displaying, summarizing, and asking questions. This is data analysis.  \nAny set of data contains information about some group of individuals. The characteristics we measure on each individual are called variables.  \nDefinitions  \nIndividuals are the objects describes by a set of data. Individuals may be people, animals, or things.  \nA variable is any characteristic of an individual. A variable can take different values for different individuals.  \nA categorical variable places an individual into one of several groups or categories. This is typically a word. For example, hair color (blond), gender (female), state you were born in (Nebraska) .  \nA quantitative variable takes numerical values for which it makes sense to find an average. For example, age (56), height (67 inches), number of pets (2) .  \nExample – Census at School  \n10 Canadian students completed a survey and the table below displays their data  \n\n| Province | Gender | Languages Spoken | Handed | Height\u003Cbr>(cm) | Wrist circum.\u003Cbr>(mm) | Preferred\u003Cbr>communication |\n| --- | --- | --- | --- | --- | --- | --- |\n| Saskatchewan | Male | 1 | Right | 175 | 180 | In person |\n| Ontario | Female | 1 | Right | 162.5 | 160 | In person |\n| Alberta | Male | 1 | Right | 178 | 174 | Facebook |\n| Ontario | Male | 2 | Right | 169 | 160 | Cell phone |\n| Ontario | Female | 2 | Right | 166 | 65 | In person |\n| Nunavut | Male | 1 | Right | 168.5 | 160 | Text |\n| Ontario | Female | 1 | Right | 166 | 165 | Cell phone |\n| Ontario | Male | 4 | Left | 157.5 | 147 | Text |\n| Ontario | Female | 2 | Right | 150.5 | 187 | Text |\n| Ontario | Female | 1 | Right | 171 | 180 | Text |\n\n1a) Who are the individuals in this data set?  \n1b) What variables were measured?  \n1c) Identify each variable as categorical or quantitative. 1d) Describe the individual in the highlighted row.  \nQuantitative variables may take values that are very close together or values that are quite spread out. Categorical variables sometimes have similar counts in each category and sometimes don’t. We call the pattern of variation of a variable its distribution.  \nDefinition: Distribution  \nThe distribution of a variable tells us what values the variable takes and how often it takes these values.  \nSection 1  \nAnalyzing Categorical Data  \nColumns of numbers take time to read. You can use a pie chart or a bar graph to display the distribution of a categorical variable more vividly.  \nThe table on the left is a frequency table. It displays counts (frequencies) of radio stations in each category. The table on the right is a relative frequency table. This table shows the percents of stations in each category.  \nExample – Radio Station Formats  \nDue to rounding error, the table below does not total 100% .  \n\n| Frequency table |  |  | Relative Frequency Table |  |\n| --- | --- | --- | --- | --- |\n| Format | Count of\u003Cbr>Stations |  | Format | Percent of Stations |\n| Adult\u003Cbr>Contemporary | 1556 |  | Adult\u003Cbr>Contemporary | 11.2 |\n| Adult Standards | 1196 |  | Adult Standards | 8.6 |\n| Contemporary Hits | 569 |  | Contemporary Hits | 4.1 |\n| Country | 2066 |  | Country | 14.9 |\n| News/Talk | 2179 |  | News/Talk | 15.7 |\n| Oldies | 1060 |  | Oldies | 7.7 |\n| Religious | 2014 |  | Religious | 14.6","cbCaih8q6Hh3S60n","https://ap.wps.com/l/cbCaih8q6Hh3S60n","pdf",1509361,26,"English","# Introduction\n## Definitions\n## Example – Census at School\n## Distribution and Section 1\n# Analyzing Categorical Data\n## Frequency vs. Relative Frequency Tables\n## Example – Radio Station Formats\n## Bar Graphs and Pie Charts\n## Example – I’m Gonna Be Rich!\n## Two-Way Tables and Marginal Distributions","[{\"question\":\"What are individuals and variables in a statistics dataset?\",\"answer\":\"Individuals are the objects described by a set of data. Variables are the characteristics measured on each individual.\"},{\"question\":\"How do you tell whether a variable is categorical or quantitative?\",\"answer\":\"Categorical variables place individuals into groups and are typically words. Quantitative variables take numerical values where finding an average makes sense.\"},{\"question\":\"What does the distribution of a variable tell you?\",\"answer\":\"A distribution tells what values the variable takes and how often it takes those values.\"}]","AP Statistics - Summer Work - Unit 1 - Exploring Data | PDF",1789900902,66]