{"id":123,"date":"2022-05-18T16:36:50","date_gmt":"2022-05-18T16:36:50","guid":{"rendered":"https:\/\/pressbooks.ccconline.org\/accintrostats\/chapter\/descriptive-statistics\/"},"modified":"2022-11-09T16:37:24","modified_gmt":"2022-11-09T16:37:24","slug":"descriptive-statistics","status":"publish","type":"chapter","link":"https:\/\/pressbooks.ccconline.org\/accintrostats\/chapter\/descriptive-statistics\/","title":{"raw":"Activity 2.9: Descriptive Statistics","rendered":"Activity 2.9: Descriptive Statistics"},"content":{"raw":" \r\n
\r\n
Descriptive Statistics<\/div>\r\n

Class Time:<\/p>\r\nNames:\r\n

\r\n
Student Learning Outcomes<\/div>\r\n
    \r\n \t
  • The student will construct a histogram and a box plot.<\/li>\r\n \t
  • The student will calculate univariate statistics.<\/li>\r\n \t
  • The student will examine the graphs to interpret what the data implies.<\/li>\r\n<\/ul>\r\n<\/div>\r\n

    Collect the Data<\/span> Record the number of pairs of shoes you own.<\/p>\r\n\r\n

      \r\n \t
    1. Randomly survey 30 classmates about the number of pairs of shoes they own. Record their values.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
      Survey Results<\/span><\/caption>\r\n
      _____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n<\/tr>\r\n
      _____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n<\/tr>\r\n
      _____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n<\/tr>\r\n
      _____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n<\/tr>\r\n
      _____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n<\/tr>\r\n
      _____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n_____<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
    2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil and scale the axes.\r\n
      \"A<\/span><\/div><\/li>\r\n \t
    3. Calculate the following values.\r\n
        \r\n \t
      1. \\(\\overline{x}\\) = _____<\/li>\r\n \t
      2. s<\/em> = _____<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
      3. Are the data discrete or continuous? How do you know?<\/li>\r\n \t
      4. In complete sentences, describe the shape of the histogram.<\/li>\r\n \t
      5. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.<\/li>\r\n<\/ol>\r\n
        \r\n
        Analyze the Data<\/div>\r\n
          \r\n \t
        1. Determine the following values.\r\n
            \r\n \t
          1. Min = _____<\/li>\r\n \t
          2. M<\/em> = _____<\/li>\r\n \t
          3. Max = _____<\/li>\r\n \t
          4. Q<\/em>1<\/sub> = _____<\/li>\r\n \t
          5. Q<\/em>3<\/sub> = _____<\/li>\r\n \t
          6. IQR<\/em> = _____<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          7. Construct a box plot of data<\/li>\r\n \t
          8. What does the shape of the box plot imply about the concentration of data? Use complete sentences.<\/li>\r\n \t
          9. Using the box plot, how can you determine if there are potential outliers?<\/li>\r\n \t
          10. How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers?<\/li>\r\n \t
          11. What does the IQR<\/em> represent in this problem?<\/li>\r\n \t
          12. Show your work to find the value that is 1.5 standard deviations:\r\n
              \r\n \t
            1. above the mean.<\/li>\r\n \t
            2. below the mean.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>","rendered":"

               <\/p>\n

              \n
              Descriptive Statistics<\/div>\n

              Class Time:<\/p>\n

              Names:<\/p>\n

              \n
              Student Learning Outcomes<\/div>\n
                \n
              • The student will construct a histogram and a box plot.<\/li>\n
              • The student will calculate univariate statistics.<\/li>\n
              • The student will examine the graphs to interpret what the data implies.<\/li>\n<\/ul>\n<\/div>\n

                Collect the Data<\/span> Record the number of pairs of shoes you own.<\/p>\n

                  \n
                1. Randomly survey 30 classmates about the number of pairs of shoes they own. Record their values.
                  \n\n\n\n\n\n\n\n\n
                  Survey Results<\/span><\/caption>\n
                  _____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n<\/tr>\n
                  _____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n<\/tr>\n
                  _____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n<\/tr>\n
                  _____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n<\/tr>\n
                  _____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n<\/tr>\n
                  _____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n_____<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
                2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil and scale the axes.\n
                  \"A<\/span><\/div>\n<\/li>\n
                3. Calculate the following values.\n
                    \n
                  1. \\(\\overline{x}\\) = _____<\/li>\n
                  2. s<\/em> = _____<\/li>\n<\/ol>\n<\/li>\n
                  3. Are the data discrete or continuous? How do you know?<\/li>\n
                  4. In complete sentences, describe the shape of the histogram.<\/li>\n
                  5. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.<\/li>\n<\/ol>\n
                    \n
                    Analyze the Data<\/div>\n
                      \n
                    1. Determine the following values.\n
                        \n
                      1. Min = _____<\/li>\n
                      2. M<\/em> = _____<\/li>\n
                      3. Max = _____<\/li>\n
                      4. Q<\/em>1<\/sub> = _____<\/li>\n
                      5. Q<\/em>3<\/sub> = _____<\/li>\n
                      6. IQR<\/em> = _____<\/li>\n<\/ol>\n<\/li>\n
                      7. Construct a box plot of data<\/li>\n
                      8. What does the shape of the box plot imply about the concentration of data? Use complete sentences.<\/li>\n
                      9. Using the box plot, how can you determine if there are potential outliers?<\/li>\n
                      10. How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers?<\/li>\n
                      11. What does the IQR<\/em> represent in this problem?<\/li>\n
                      12. Show your work to find the value that is 1.5 standard deviations:\n
                          \n
                        1. above the mean.<\/li>\n
                        2. below the mean.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n","protected":false},"author":32,"menu_order":9,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-123","chapter","type-chapter","status-publish","hentry"],"part":51,"_links":{"self":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/chapters\/123","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/users\/32"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/chapters\/123\/revisions"}],"predecessor-version":[{"id":707,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/chapters\/123\/revisions\/707"}],"part":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/parts\/51"}],"metadata":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/chapters\/123\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/media?parent=123"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/chapter-type?post=123"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/contributor?post=123"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/license?post=123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}