{"id":219,"date":"2023-01-17T17:43:04","date_gmt":"2023-01-17T22:43:04","guid":{"rendered":"https:\/\/opentextbc.ca\/busstatsancillary\/?post_type=chapter&p=219"},"modified":"2023-01-20T13:38:56","modified_gmt":"2023-01-20T18:38:56","slug":"measures-of-the-spread-of-the-data","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/busstatsancillary\/chapter\/measures-of-the-spread-of-the-data\/","title":{"raw":"2.7 Measures of the Spread of the Data","rendered":"2.7 Measures of the Spread of the Data"},"content":{"raw":"

The following activities and questions relate to material covered in Chapter 2.7<\/a><\/span>\u00a0<\/span><\/a>Measures of the Spread of the Data<\/a> in\u00a0Introductory Business Statistics (OpenStax)<\/em><\/a>.<\/span><\/p>\r\n\r\n

Data sets for the following questions are available in Excel: 2.7 Data Sets [XLSX]<\/a>.<\/div>\r\n

Questions<\/h1>\r\nJanine lives in Whitehorse, YT and she just graduated from high school. She is considering a career as a baker and would like to know what the Canadian salary outlook is for this career. She collected data from Jobillico (table below) and would like to calculate the following values:\r\n
    \r\n \t
  1. What is the sample size?<\/li>\r\n \t
  2. What is the sample mean?<\/li>\r\n \t
  3. What is the sample variance?<\/li>\r\n \t
  4. What is the sample standard deviation?<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Average Salary for Baker in Canada [footnote]Data source: Jobillico. (n.d). Average salary for baker in Canada<\/em>. https:\/\/www.jobillico.com\/salary\/job\/Baker[\/footnote]<\/caption>\r\n
    Province<\/th>\r\nAverage salary for Baker in Canada<\/th>\r\n<\/tr>\r\n
    Alberta<\/td>\r\n$41,589<\/td>\r\n<\/tr>\r\n
    British Columbia<\/td>\r\n$58,497<\/td>\r\n<\/tr>\r\n
    Manitoba<\/td>\r\n$44,321<\/td>\r\n<\/tr>\r\n
    New Brunswich<\/td>\r\n$65,756<\/td>\r\n<\/tr>\r\n
    Newfoundland<\/td>\r\n$67,803<\/td>\r\n<\/tr>\r\n
    Northwest Territories<\/td>\r\n$48,484<\/td>\r\n<\/tr>\r\n
    Nova Scotia<\/td>\r\n$64,981<\/td>\r\n<\/tr>\r\n
    Nunavut<\/td>\r\n$72,280<\/td>\r\n<\/tr>\r\n
    Ontario<\/td>\r\n$45,858<\/td>\r\n<\/tr>\r\n
    Prince Edward Island<\/td>\r\n$67,754<\/td>\r\n<\/tr>\r\n
    Quebec<\/td>\r\n$40,858<\/td>\r\n<\/tr>\r\n
    Saskatchewan<\/td>\r\n$39,773<\/td>\r\n<\/tr>\r\n
    Yukon<\/td>\r\n$37,440<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

    Solutions<\/h1>\r\n
      \r\n \t
    1. Sample size n = 13<\/li>\r\n \t
    2. Sample mean x = $53,491.85<\/li>\r\n \t
    3. Sample variance s2 = 165,274,453.5<\/li>\r\n \t
    4. Sample standard deviation s = $12,855.91<\/li>\r\n<\/ol>","rendered":"

      The following activities and questions relate to material covered in Chapter 2.7<\/a><\/span>\u00a0<\/span><\/a>Measures of the Spread of the Data<\/a> in\u00a0Introductory Business Statistics (OpenStax)<\/em><\/a>.<\/span><\/p>\n

      Data sets for the following questions are available in Excel: 2.7 Data Sets [XLSX]<\/a>.<\/div>\n

      Questions<\/h1>\n

      Janine lives in Whitehorse, YT and she just graduated from high school. She is considering a career as a baker and would like to know what the Canadian salary outlook is for this career. She collected data from Jobillico (table below) and would like to calculate the following values:<\/p>\n

        \n
      1. What is the sample size?<\/li>\n
      2. What is the sample mean?<\/li>\n
      3. What is the sample variance?<\/li>\n
      4. What is the sample standard deviation?<\/li>\n<\/ol>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
        Average Salary for Baker in Canada [1]<\/sup><\/a><\/caption>\n
        Province<\/th>\nAverage salary for Baker in Canada<\/th>\n<\/tr>\n
        Alberta<\/td>\n$41,589<\/td>\n<\/tr>\n
        British Columbia<\/td>\n$58,497<\/td>\n<\/tr>\n
        Manitoba<\/td>\n$44,321<\/td>\n<\/tr>\n
        New Brunswich<\/td>\n$65,756<\/td>\n<\/tr>\n
        Newfoundland<\/td>\n$67,803<\/td>\n<\/tr>\n
        Northwest Territories<\/td>\n$48,484<\/td>\n<\/tr>\n
        Nova Scotia<\/td>\n$64,981<\/td>\n<\/tr>\n
        Nunavut<\/td>\n$72,280<\/td>\n<\/tr>\n
        Ontario<\/td>\n$45,858<\/td>\n<\/tr>\n
        Prince Edward Island<\/td>\n$67,754<\/td>\n<\/tr>\n
        Quebec<\/td>\n$40,858<\/td>\n<\/tr>\n
        Saskatchewan<\/td>\n$39,773<\/td>\n<\/tr>\n
        Yukon<\/td>\n$37,440<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        Solutions<\/h1>\n
          \n
        1. Sample size n = 13<\/li>\n
        2. Sample mean x = $53,491.85<\/li>\n
        3. Sample variance s2 = 165,274,453.5<\/li>\n
        4. Sample standard deviation s = $12,855.91<\/li>\n<\/ol>\n
          1. Data source: Jobillico. (n.d). Average salary for baker in Canada<\/em>. https:\/\/www.jobillico.com\/salary\/job\/Baker ↵<\/a><\/li><\/ol><\/div>","protected":false},"author":123,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-219","chapter","type-chapter","status-publish","hentry"],"part":39,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/users\/123"}],"version-history":[{"count":3,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/219\/revisions"}],"predecessor-version":[{"id":320,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/219\/revisions\/320"}],"part":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/parts\/39"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/219\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapter-type?post=219"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/contributor?post=219"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/license?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}