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Tasks include identifying individuals and variables from an observational study, diagnosing problems in a bar graph presentation, and analyzing survey data by relative frequencies with segmented bar graphs. Additional problems require constructing dotplots and histograms, describing distributions, and using stemplots to compare home run production across careers. Further exercises address outliers, boxplots, and the effects of recording errors or adding/removing data on mean and standard deviation.",{"@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-2024-chapter-1-practice-questions-11-12-and-13/448380/",{"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-2024-chapter-1-practice-questions-11-12-and-13/448380.png","ImageObject",300,407,{"name":92,"@type":93},"jay","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine which variables in a data set are categorical versus quantitative (discrete or continuous)?","Question",{"text":112,"@type":113},"List each recorded variable from the study, then classify it based on whether it takes categories (categorical) or numeric measurements. 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Adding a new observation changes the mean toward the new value and alters the standard deviation based on whether the new value is closer to or farther from the existing data pattern.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},448380,1790816231,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},3985747858866,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","1. Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept, how many bananas they ate, gender, age, and the specific breed of monkey.  \n(a) What are the individuals in this data set?  \n(b) Identify the variables that were recorded, and indicate whether each one is categorical, quantitative (discrete), or quantitative (continuous) .  \n2. The following bar graph gives the percent of owners of three brands of trucks who are satisfied with their truck. What is wrong with the way information is presented in this graph?  \n3. A research study asked children which of four different emotions they associated with the color red. The response and gender of each child are given in the following table.  \nMale Female  \n\n| Joy | 28 | 61 |\n| --- | --- | --- |\n| Happiness | 20 | 25 |\n| Love | 40 | 80 |\n| Anger | 18 | 60 |\n\n(a) Find the distribution of emotion for each gender using relative frequencies.  \n(b) Make a segmented bar graph to compare the distributions in part (a) .  \n(c) Describe what the graph in (b) reveals about the association between gender and emotion for the students in the sample.  \n1. A random sample of 20 employees at a large company was selected. Here are the salaries (in thousands of dollars) for these employees during one year.  \n28 31 34 35 37 41 42 42 42 47  \n49 51 52 52 60 61 67 72 75 77  \n(a) Make a dotplot of these data.  \n(b) What percentage of the sample of employees have a salary of at least $60,000?  \n2. Professor Windley teaches a statistics class with 136 students. On the first day of class he records how much money each student has in his or her possession (in dollars) during the first class of the semester. The histogram displays the data. Describe the distribution.  \n3. On August 7, 2007 Barry Bonds hit his 756th home run, breaking the all-time career home run record, formerly held by Hank Aaron. Does that make Bonds a better home run hitter than Aaron? Let’s compare their annual home run production over their entire careers. A side-by-side stemplot is shown below.  \nNumber of Home Runs Per Year  \nKey: 1|4 = 14 home runs  \nUse the plot to write a few sentences discussing the similarities and differences in the distributions of home runs per year for Bonds and Aaron.  \n1. A group of 78 third-grade students in a Midwestern elementary school took a “self-concept” test that measured how well they felt about themselves. Higher scores indicate more positive self-concepts. The lowest self-concept scores were 20, 26, 27, 31, and 32. A histogram and some summary statistics from Minitab for these students’ self-concept scores are given below.  \nVariable SelfConc  \nn  \n78  \nMean 56.85  \nStDev 12.35  \nMinimum 20  \nQ1  \n50  \nMedian 59  \nQ3  \n65  \nMaximum 84  \n(a) Are there any outliers? Justify your answer.  \n(b) Draw a boxplot of this distribution.  \n(c) One of the students had a self-concept score of 32. If this score had been accidently recorded as 22, what effect would this have had on the value of the mean and the median? Justify your answer.  \n2. Five students reported the amount of time (in minutes) they spent studying for an AP Statistics test the night before the test. The mean of the reported times is 45 minutes and the standard deviation is 10 minutes.  \n(a) Interpret the standard deviation in context.  \n(b) A 6th student reported that they studied for 50 minutes. How would the addition of this student to the data set affect the value of the mean and the standard deviation? Explain your answers.","cbCaiqF9t4rKLM07","https://ap.wps.com/l/cbCaiqF9t4rKLM07","pdf",78735,"English","# Practice Questions\n## Individuals, Variables, and Graph Interpretation\n## Emotion and Gender Distribution\n## Salary Dotplot and Percent at Least $60,000\n## Histogram Distribution Description\n## Home Run Distributions Comparison\n## Self-Concept Scores: Outliers and Boxplot\n## Studying Time: Standard Deviation and Adding a Data Point","[{\"question\":\"How do you determine which variables in a data set are categorical versus quantitative (discrete or continuous)?\",\"answer\":\"List each recorded variable from the study, then classify it based on whether it takes categories (categorical) or numeric measurements. Use discrete for count data and continuous for measurement that can vary over an interval.\"},{\"question\":\"What is wrong with information presentation in a percent bar graph when comparing truck satisfaction across brands?\",\"answer\":\"Check whether the graph accurately reflects percentages and uses consistent scales/segment sizing across brands. Errors typically come from misleading segment lengths, missing totals, or improper labeling of percent values.\"},{\"question\":\"How do a mistaken self-concept score (32 recorded as 22) and adding an extra study-time value affect mean and standard deviation?\",\"answer\":\"A lower recorded value decreases both the mean and can increase spread depending on how far it shifts from the center. Adding a new observation changes the mean toward the new value and alters the standard deviation based on whether the new value is closer to or farther from the existing data pattern.\"}]","AP Statistics Summer Work 2024 - Chapter 1 Practice Questions 11-12 and 13 | PDF",1790726795,15]