{"id":186,"date":"2023-01-16T19:40:27","date_gmt":"2023-01-17T00:40:27","guid":{"rendered":"https:\/\/opentextbc.ca\/busstatsancillary\/?post_type=chapter&p=186"},"modified":"2023-01-20T13:31:20","modified_gmt":"2023-01-20T18:31:20","slug":"measures-of-the-location-of-the-data","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/busstatsancillary\/chapter\/measures-of-the-location-of-the-data\/","title":{"raw":"2.2 Measures of the Location of the Data","rendered":"2.2 Measures of the Location of the Data"},"content":{"raw":"The following activities and questions relate to material covered in Chapter 2.2 Measures of the Location of the Data<\/a> in Introductory Business Statistics (OpenStax)<\/em><\/a>.\r\n
Data sets for the following questions are available in Excel: 2.2 Data Sets [XLSX]<\/a>.<\/div>\r\n

Questions<\/h1>\r\n
    \r\n \t
  1. This is a table of monthly ticket sales at the Yukon Beringia Interpretive Centre in 2018.\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
    Monthly Ticket Sales at Yukon Beringia Interpretive Centre [footnote]Data source: Government of Yukon. (2018). Tourism Yukon<\/em>\r\n2018 Year-End Report<\/em>. https:\/\/yukon.ca\/sites\/yukon.ca\/files\/tc\/tc-tourism-yukon-2018-year-end-report.pdf[\/footnote]<\/caption>\r\n
    Month<\/th>\r\nBeringia 2018 Ticket Sales<\/th>\r\nRelative Frequency<\/th>\r\nCumulative Frequency<\/th>\r\n<\/tr>\r\n
    January<\/td>\r\n673<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    February<\/td>\r\n814<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    March<\/td>\r\n1670<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    April<\/td>\r\n1303<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    May<\/td>\r\n1347<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    June<\/td>\r\n3519<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    July<\/td>\r\n4745<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    August<\/td>\r\n4065<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    September<\/td>\r\n1808<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    October<\/td>\r\n1170<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    November<\/td>\r\n1475<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    December<\/td>\r\n1309<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
      \r\n \t
    1. Complete the table.<\/li>\r\n \t
    2. What proportion of 2018 ticket sales were sold in July and August?<\/li>\r\n \t
    3. What proportion of ticket sales in the first 8 months of 2018?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
    4. Use the 2020 Yukon population by age group table below to:\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
      Age Group (yrs.)<\/th>\r\nFrequency<\/th>\r\nRelative Frequency<\/th>\r\n<\/tr>\r\n
      0-9<\/td>\r\n4692<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      10-19<\/td>\r\n4355<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      20-29<\/td>\r\n5435<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      30-39<\/td>\r\n7266<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      40-49<\/td>\r\n5938<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      50-59<\/td>\r\n5913<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      60-69<\/td>\r\n5459<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      70-79<\/td>\r\n2574<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      80+<\/td>\r\n875<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
        \r\n \t
      1. Create a bar chart.<\/li>\r\n \t
      2. Complete the table.<\/li>\r\n \t
      3. Which age category has the highest frequency and what proportion of the total population is that category?<\/li>\r\n \t
      4. Use 2 sentences to describe features of the bar chart<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
      5. Forty randomly selected people in Yellowknife, NWT were asked the number of nights they saw northern lights last year. The results are as follows:\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Number of Nights Northern Lights Viewed<\/th>\r\nFrequency<\/th>\r\nRelative Frequency<\/th>\r\nCumulative Frequency<\/th>\r\n<\/tr>\r\n
        0<\/td>\r\n0<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        1<\/td>\r\n15<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        2<\/td>\r\n10<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        3<\/td>\r\n2<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        4<\/td>\r\n2<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        5<\/td>\r\n2<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
          \r\n \t
        1. Complete the columns of the chart.<\/li>\r\n \t
        2. Use a bar chart to graph the frequencies.<\/li>\r\n \t
        3. What is the probability someone chosen randomly viewed at least one night of northern lights?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
        4. In a survey collecting data about the salaries earned by recent Yukon University graduates, Christy found that her salary was in the 85th<\/sup> percentile. Should Christy be pleased by this result? Explain.<\/li>\r\n \t
        5. Thirty part-time grocery clerks who work at grocery store in northern Canada were asked, \u201cWhat is your average weekly salary?\u201d The results are in the table below.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Weekly Salary ($)<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n
          No response<\/td>\r\n7<\/td>\r\n<\/tr>\r\n
          200-250<\/td>\r\n5<\/td>\r\n<\/tr>\r\n
          350-300<\/td>\r\n6<\/td>\r\n<\/tr>\r\n
          300-350<\/td>\r\n6<\/td>\r\n<\/tr>\r\n
          350-400<\/td>\r\n3<\/td>\r\n<\/tr>\r\n
          400-450<\/td>\r\n1<\/td>\r\n<\/tr>\r\n
          450-500<\/td>\r\n2<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
            \r\n \t
          1. What percentage of the survey did not give an answer?<\/li>\r\n \t
          2. What percentage says their weekly salary is from $200.00 to $350.00?<\/li>\r\n \t
          3. Construct a bar graph of the data.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          4. The annual precipitation in Atlin, BC between 2005 and 2014 is as follows:\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
            Annual Precipitation in Altlin, BC [footnote]Data source: Weather Dashboard for Atlin. (n.d.). Total precipitation - Annual data for Atlin<\/em>. https:\/\/atlin.weatherstats.ca\/charts\/precipitation-yearly.html[\/footnote]<\/caption>\r\n
            Year<\/th>\r\nAnnual Atlin Precip. (mm)<\/th>\r\n<\/tr>\r\n
            2005<\/td>\r\n307.3<\/td>\r\n<\/tr>\r\n
            2006<\/td>\r\n24.1<\/td>\r\n<\/tr>\r\n
            2007<\/td>\r\n50.0<\/td>\r\n<\/tr>\r\n
            2008<\/td>\r\n143.8<\/td>\r\n<\/tr>\r\n
            2009<\/td>\r\n66.4<\/td>\r\n<\/tr>\r\n
            2010<\/td>\r\n54.2<\/td>\r\n<\/tr>\r\n
            2011<\/td>\r\n85.9<\/td>\r\n<\/tr>\r\n
            2012<\/td>\r\n259.7<\/td>\r\n<\/tr>\r\n
            2013<\/td>\r\n330.8<\/td>\r\n<\/tr>\r\n
            2014<\/td>\r\n279.4<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
              \r\n \t
            1. Organize the data into a line graph.<\/li>\r\n \t
            2. Construct a histogram of the data.<\/li>\r\n \t
            3. Calculate the sample mean.<\/li>\r\n \t
            4. Find the interquartile range.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

              Solutions<\/h1>\r\n
                \r\n \t
              1. \r\n
                  \r\n \t
                1. \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
                  Monthly Ticket Sales at Yukon Beringia Interpretive Centre<\/caption>\r\n
                  Month<\/th>\r\nBeringia 2018 Ticket Sales<\/th>\r\nRelative Frequency<\/th>\r\nCumulative Frequency<\/th>\r\n<\/tr>\r\n
                  January<\/td>\r\n673<\/td>\r\n2.82%<\/td>\r\n2.82%<\/td>\r\n<\/tr>\r\n
                  February<\/td>\r\n814<\/td>\r\n3.41%<\/td>\r\n6.22%<\/td>\r\n<\/tr>\r\n
                  March<\/td>\r\n1670<\/td>\r\n6.99%<\/td>\r\n13.21%<\/td>\r\n<\/tr>\r\n
                  April<\/td>\r\n1303<\/td>\r\n5.45%<\/td>\r\n18.66%<\/td>\r\n<\/tr>\r\n
                  May<\/td>\r\n1347<\/td>\r\n5.64%<\/td>\r\n24.30%<\/td>\r\n<\/tr>\r\n
                  June<\/td>\r\n3519<\/td>\r\n14.73%<\/td>\r\n39.02%<\/td>\r\n<\/tr>\r\n
                  July<\/td>\r\n4745<\/td>\r\n19.86%<\/td>\r\n58.88%<\/td>\r\n<\/tr>\r\n
                  August<\/td>\r\n4065<\/td>\r\n17.01%<\/td>\r\n75.89%<\/td>\r\n<\/tr>\r\n
                  September<\/td>\r\n1808<\/td>\r\n7.57%<\/td>\r\n83.45%<\/td>\r\n<\/tr>\r\n
                  October<\/td>\r\n1170<\/td>\r\n4.90%<\/td>\r\n88.35%<\/td>\r\n<\/tr>\r\n
                  November<\/td>\r\n1475<\/td>\r\n6.17%<\/td>\r\n94.52%<\/td>\r\n<\/tr>\r\n
                  December<\/td>\r\n1309<\/td>\r\n5.48%<\/td>\r\n100%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
                2. In July and August of 2018, (19.86%+17.01% =) 36.87% of 2018\u2019s tickets were sold.<\/li>\r\n \t
                3. In 2018, 75.89% of 2018\u2019s tickets were sold in the first 8 months of the year.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                4. \r\n
                    \r\n \t
                  1. Bar chart of 2020 Yukon population by age group\r\n\"\"<\/li>\r\n \t
                  2. \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
                    Age Group (yrs.)<\/th>\r\nFrequency<\/th>\r\nRelative Frequency<\/th>\r\n<\/tr>\r\n
                    0-9<\/td>\r\n4692<\/td>\r\n11.04%<\/td>\r\n<\/tr>\r\n
                    10-19<\/td>\r\n4355<\/td>\r\n10.25%<\/td>\r\n<\/tr>\r\n
                    20-29<\/td>\r\n5435<\/td>\r\n12.79%<\/td>\r\n<\/tr>\r\n
                    30-39<\/td>\r\n7266<\/td>\r\n17.09%<\/td>\r\n<\/tr>\r\n
                    40-49<\/td>\r\n5938<\/td>\r\n13.97%<\/td>\r\n<\/tr>\r\n
                    50-59<\/td>\r\n5913<\/td>\r\n13.91%<\/td>\r\n<\/tr>\r\n
                    60-69<\/td>\r\n5459<\/td>\r\n12.84%<\/td>\r\n<\/tr>\r\n
                    70-79<\/td>\r\n2574<\/td>\r\n6.06%<\/td>\r\n<\/tr>\r\n
                    80+<\/td>\r\n875<\/td>\r\n2.06%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
                  3. The age category with the highest frequency is Yukoners between 30-39 years of age occupying 17.09% of the total Yukon population.<\/li>\r\n \t
                  4. There is a lower probability of choosing a random Yukoner between 10 and 19 years of age than any other age group. There are almost as many Yukoners between the ages of 0 and 39 as there are Yukoners older than 40 yrs. old.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                  5. \r\n
                      \r\n \t
                    1. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                      Number of Nights Northern Lights Viewed<\/th>\r\nFrequency<\/th>\r\nRelative Frequency<\/th>\r\nCumulative Frequency<\/th>\r\n<\/tr>\r\n
                      0<\/td>\r\n0<\/td>\r\n22.50%<\/td>\r\n22.50%<\/td>\r\n<\/tr>\r\n
                      1<\/td>\r\n15<\/td>\r\n37.50%<\/td>\r\n60.00%<\/td>\r\n<\/tr>\r\n
                      2<\/td>\r\n10<\/td>\r\n25.00%<\/td>\r\n85.00%<\/td>\r\n<\/tr>\r\n
                      3<\/td>\r\n2<\/td>\r\n5.00%<\/td>\r\n90.00%<\/td>\r\n<\/tr>\r\n
                      4<\/td>\r\n2<\/td>\r\n5.00%<\/td>\r\n95.00%<\/td>\r\n<\/tr>\r\n
                      5<\/td>\r\n2<\/td>\r\n5.00%<\/td>\r\n100.00%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
                    2. Bar chart of the frequency of viewing northern lights.\r\n\"\"<\/li>\r\n \t
                    3. The probability a randomly chosen person in Yellowknife viewed northern lights last year is 77.5%.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                    4. Christy should be pleased considering this means her salary is higher than 85% of people surveyed, or rather it is in the top 15% of people surveyed.<\/li>\r\n \t
                    5. \r\n
                        \r\n \t
                      1. The percentage of people who did not provide a response 7\/30 = 0.2333 = 23.33%. 23.37% of grocery clerk refused to give answers.<\/li>\r\n \t
                      2. 16.67% + 20% + 20% = 56.67%. 56.67% of the grocery clerks says their weekly salary is from $200.00 to $350.00.<\/li>\r\n \t
                      3. Bar graph of part-time grocery employee weekly salary frequency.\r\n\"\"<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                      4. \r\n
                          \r\n \t
                        1. Line graph of annual precipitation in Atlin, BC.\r\n\"\"<\/li>\r\n \t
                        2. [latex]\\text{Width of bins}= \\dfrac{(\\text{max }\u2212\\text{ min})}{\\text{No. of bins}}= \\dfrac{(330.80\u221224.10)}{6} = 51.12[\/latex], use 50 mm for the width.\"\"<\/li>\r\n \t
                        3. Sample mean = 160.15 mm<\/li>\r\n \t
                        4. Interquartile Range = Q3<\/sub> \u2212 Q1<\/sub> = 286.375mm \u2212 53.075 mm = 233.3 mm<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>","rendered":"

                          The following activities and questions relate to material covered in Chapter 2.2 Measures of the Location of the Data<\/a> in Introductory Business Statistics (OpenStax)<\/em><\/a>.<\/p>\n

                          Data sets for the following questions are available in Excel: 2.2 Data Sets [XLSX]<\/a>.<\/div>\n

                          Questions<\/h1>\n
                            \n
                          1. This is a table of monthly ticket sales at the Yukon Beringia Interpretive Centre in 2018.
                            \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                            Monthly Ticket Sales at Yukon Beringia Interpretive Centre [1]<\/sup><\/a><\/caption>\n
                            Month<\/th>\nBeringia 2018 Ticket Sales<\/th>\nRelative Frequency<\/th>\nCumulative Frequency<\/th>\n<\/tr>\n
                            January<\/td>\n673<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            February<\/td>\n814<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            March<\/td>\n1670<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            April<\/td>\n1303<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            May<\/td>\n1347<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            June<\/td>\n3519<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            July<\/td>\n4745<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            August<\/td>\n4065<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            September<\/td>\n1808<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            October<\/td>\n1170<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            November<\/td>\n1475<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                            December<\/td>\n1309<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
                              \n
                            1. Complete the table.<\/li>\n
                            2. What proportion of 2018 ticket sales were sold in July and August?<\/li>\n
                            3. What proportion of ticket sales in the first 8 months of 2018?<\/li>\n<\/ol>\n<\/li>\n
                            4. Use the 2020 Yukon population by age group table below to:
                              \n\n\n\n\n\n\n\n\n\n\n\n\n
                              Age Group (yrs.)<\/th>\nFrequency<\/th>\nRelative Frequency<\/th>\n<\/tr>\n
                              0-9<\/td>\n4692<\/td>\n<\/td>\n<\/tr>\n
                              10-19<\/td>\n4355<\/td>\n<\/td>\n<\/tr>\n
                              20-29<\/td>\n5435<\/td>\n<\/td>\n<\/tr>\n
                              30-39<\/td>\n7266<\/td>\n<\/td>\n<\/tr>\n
                              40-49<\/td>\n5938<\/td>\n<\/td>\n<\/tr>\n
                              50-59<\/td>\n5913<\/td>\n<\/td>\n<\/tr>\n
                              60-69<\/td>\n5459<\/td>\n<\/td>\n<\/tr>\n
                              70-79<\/td>\n2574<\/td>\n<\/td>\n<\/tr>\n
                              80+<\/td>\n875<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
                                \n
                              1. Create a bar chart.<\/li>\n
                              2. Complete the table.<\/li>\n
                              3. Which age category has the highest frequency and what proportion of the total population is that category?<\/li>\n
                              4. Use 2 sentences to describe features of the bar chart<\/li>\n<\/ol>\n<\/li>\n
                              5. Forty randomly selected people in Yellowknife, NWT were asked the number of nights they saw northern lights last year. The results are as follows:
                                \n\n\n\n\n\n\n\n\n\n
                                Number of Nights Northern Lights Viewed<\/th>\nFrequency<\/th>\nRelative Frequency<\/th>\nCumulative Frequency<\/th>\n<\/tr>\n
                                0<\/td>\n0<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                                1<\/td>\n15<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                                2<\/td>\n10<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                                3<\/td>\n2<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                                4<\/td>\n2<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                                5<\/td>\n2<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
                                  \n
                                1. Complete the columns of the chart.<\/li>\n
                                2. Use a bar chart to graph the frequencies.<\/li>\n
                                3. What is the probability someone chosen randomly viewed at least one night of northern lights?<\/li>\n<\/ol>\n<\/li>\n
                                4. In a survey collecting data about the salaries earned by recent Yukon University graduates, Christy found that her salary was in the 85th<\/sup> percentile. Should Christy be pleased by this result? Explain.<\/li>\n
                                5. Thirty part-time grocery clerks who work at grocery store in northern Canada were asked, \u201cWhat is your average weekly salary?\u201d The results are in the table below.
                                  \n\n\n\n\n\n\n\n\n\n\n
                                  Weekly Salary ($)<\/th>\nFrequency<\/th>\n<\/tr>\n
                                  No response<\/td>\n7<\/td>\n<\/tr>\n
                                  200-250<\/td>\n5<\/td>\n<\/tr>\n
                                  350-300<\/td>\n6<\/td>\n<\/tr>\n
                                  300-350<\/td>\n6<\/td>\n<\/tr>\n
                                  350-400<\/td>\n3<\/td>\n<\/tr>\n
                                  400-450<\/td>\n1<\/td>\n<\/tr>\n
                                  450-500<\/td>\n2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
                                    \n
                                  1. What percentage of the survey did not give an answer?<\/li>\n
                                  2. What percentage says their weekly salary is from $200.00 to $350.00?<\/li>\n
                                  3. Construct a bar graph of the data.<\/li>\n<\/ol>\n<\/li>\n
                                  4. The annual precipitation in Atlin, BC between 2005 and 2014 is as follows:
                                    \n\n\n\n\n\n\n\n\n\n\n\n\n\n
                                    Annual Precipitation in Altlin, BC [2]<\/sup><\/a><\/caption>\n
                                    Year<\/th>\nAnnual Atlin Precip. (mm)<\/th>\n<\/tr>\n
                                    2005<\/td>\n307.3<\/td>\n<\/tr>\n
                                    2006<\/td>\n24.1<\/td>\n<\/tr>\n
                                    2007<\/td>\n50.0<\/td>\n<\/tr>\n
                                    2008<\/td>\n143.8<\/td>\n<\/tr>\n
                                    2009<\/td>\n66.4<\/td>\n<\/tr>\n
                                    2010<\/td>\n54.2<\/td>\n<\/tr>\n
                                    2011<\/td>\n85.9<\/td>\n<\/tr>\n
                                    2012<\/td>\n259.7<\/td>\n<\/tr>\n
                                    2013<\/td>\n330.8<\/td>\n<\/tr>\n
                                    2014<\/td>\n279.4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
                                      \n
                                    1. Organize the data into a line graph.<\/li>\n
                                    2. Construct a histogram of the data.<\/li>\n
                                    3. Calculate the sample mean.<\/li>\n
                                    4. Find the interquartile range.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                      Solutions<\/h1>\n
                                        \n
                                      1. \n
                                          \n
                                        1. \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                                          Monthly Ticket Sales at Yukon Beringia Interpretive Centre<\/caption>\n
                                          Month<\/th>\nBeringia 2018 Ticket Sales<\/th>\nRelative Frequency<\/th>\nCumulative Frequency<\/th>\n<\/tr>\n
                                          January<\/td>\n673<\/td>\n2.82%<\/td>\n2.82%<\/td>\n<\/tr>\n
                                          February<\/td>\n814<\/td>\n3.41%<\/td>\n6.22%<\/td>\n<\/tr>\n
                                          March<\/td>\n1670<\/td>\n6.99%<\/td>\n13.21%<\/td>\n<\/tr>\n
                                          April<\/td>\n1303<\/td>\n5.45%<\/td>\n18.66%<\/td>\n<\/tr>\n
                                          May<\/td>\n1347<\/td>\n5.64%<\/td>\n24.30%<\/td>\n<\/tr>\n
                                          June<\/td>\n3519<\/td>\n14.73%<\/td>\n39.02%<\/td>\n<\/tr>\n
                                          July<\/td>\n4745<\/td>\n19.86%<\/td>\n58.88%<\/td>\n<\/tr>\n
                                          August<\/td>\n4065<\/td>\n17.01%<\/td>\n75.89%<\/td>\n<\/tr>\n
                                          September<\/td>\n1808<\/td>\n7.57%<\/td>\n83.45%<\/td>\n<\/tr>\n
                                          October<\/td>\n1170<\/td>\n4.90%<\/td>\n88.35%<\/td>\n<\/tr>\n
                                          November<\/td>\n1475<\/td>\n6.17%<\/td>\n94.52%<\/td>\n<\/tr>\n
                                          December<\/td>\n1309<\/td>\n5.48%<\/td>\n100%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
                                        2. In July and August of 2018, (19.86%+17.01% =) 36.87% of 2018\u2019s tickets were sold.<\/li>\n
                                        3. In 2018, 75.89% of 2018\u2019s tickets were sold in the first 8 months of the year.<\/li>\n<\/ol>\n<\/li>\n
                                        4. \n
                                            \n
                                          1. Bar chart of 2020 Yukon population by age group
                                            \n\"\"<\/li>\n
                                          2. \n\n\n\n\n\n\n\n\n\n\n\n\n
                                            Age Group (yrs.)<\/th>\nFrequency<\/th>\nRelative Frequency<\/th>\n<\/tr>\n
                                            0-9<\/td>\n4692<\/td>\n11.04%<\/td>\n<\/tr>\n
                                            10-19<\/td>\n4355<\/td>\n10.25%<\/td>\n<\/tr>\n
                                            20-29<\/td>\n5435<\/td>\n12.79%<\/td>\n<\/tr>\n
                                            30-39<\/td>\n7266<\/td>\n17.09%<\/td>\n<\/tr>\n
                                            40-49<\/td>\n5938<\/td>\n13.97%<\/td>\n<\/tr>\n
                                            50-59<\/td>\n5913<\/td>\n13.91%<\/td>\n<\/tr>\n
                                            60-69<\/td>\n5459<\/td>\n12.84%<\/td>\n<\/tr>\n
                                            70-79<\/td>\n2574<\/td>\n6.06%<\/td>\n<\/tr>\n
                                            80+<\/td>\n875<\/td>\n2.06%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
                                          3. The age category with the highest frequency is Yukoners between 30-39 years of age occupying 17.09% of the total Yukon population.<\/li>\n
                                          4. There is a lower probability of choosing a random Yukoner between 10 and 19 years of age than any other age group. There are almost as many Yukoners between the ages of 0 and 39 as there are Yukoners older than 40 yrs. old.<\/li>\n<\/ol>\n<\/li>\n
                                          5. \n
                                              \n
                                            1. \n\n\n\n\n\n\n\n\n\n
                                              Number of Nights Northern Lights Viewed<\/th>\nFrequency<\/th>\nRelative Frequency<\/th>\nCumulative Frequency<\/th>\n<\/tr>\n
                                              0<\/td>\n0<\/td>\n22.50%<\/td>\n22.50%<\/td>\n<\/tr>\n
                                              1<\/td>\n15<\/td>\n37.50%<\/td>\n60.00%<\/td>\n<\/tr>\n
                                              2<\/td>\n10<\/td>\n25.00%<\/td>\n85.00%<\/td>\n<\/tr>\n
                                              3<\/td>\n2<\/td>\n5.00%<\/td>\n90.00%<\/td>\n<\/tr>\n
                                              4<\/td>\n2<\/td>\n5.00%<\/td>\n95.00%<\/td>\n<\/tr>\n
                                              5<\/td>\n2<\/td>\n5.00%<\/td>\n100.00%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
                                            2. Bar chart of the frequency of viewing northern lights.
                                              \n\"\"<\/li>\n
                                            3. The probability a randomly chosen person in Yellowknife viewed northern lights last year is 77.5%.<\/li>\n<\/ol>\n<\/li>\n
                                            4. Christy should be pleased considering this means her salary is higher than 85% of people surveyed, or rather it is in the top 15% of people surveyed.<\/li>\n
                                            5. \n
                                                \n
                                              1. The percentage of people who did not provide a response 7\/30 = 0.2333 = 23.33%. 23.37% of grocery clerk refused to give answers.<\/li>\n
                                              2. 16.67% + 20% + 20% = 56.67%. 56.67% of the grocery clerks says their weekly salary is from $200.00 to $350.00.<\/li>\n
                                              3. Bar graph of part-time grocery employee weekly salary frequency.
                                                \n\"\"<\/li>\n<\/ol>\n<\/li>\n
                                              4. \n
                                                  \n
                                                1. Line graph of annual precipitation in Atlin, BC.
                                                  \n\"\"<\/li>\n
                                                2. [latex]\\text{Width of bins}= \\dfrac{(\\text{max }\u2212\\text{ min})}{\\text{No. of bins}}= \\dfrac{(330.80\u221224.10)}{6} = 51.12[\/latex], use 50 mm for the width.\"\"<\/li>\n
                                                3. Sample mean = 160.15 mm<\/li>\n
                                                4. Interquartile Range = Q3<\/sub> \u2212 Q1<\/sub> = 286.375mm \u2212 53.075 mm = 233.3 mm<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n
                                                  1. Data source: Government of Yukon. (2018). Tourism Yukon<\/em>\r\n2018 Year-End Report<\/em>. https:\/\/yukon.ca\/sites\/yukon.ca\/files\/tc\/tc-tourism-yukon-2018-year-end-report.pdf ↵<\/a><\/li>
                                                  2. Data source: Weather Dashboard for Atlin. (n.d.). Total precipitation - Annual data for Atlin<\/em>. https:\/\/atlin.weatherstats.ca\/charts\/precipitation-yearly.html ↵<\/a><\/li><\/ol><\/div>","protected":false},"author":123,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-186","chapter","type-chapter","status-publish","hentry"],"part":39,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/186","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":9,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/186\/revisions"}],"predecessor-version":[{"id":316,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/186\/revisions\/316"}],"part":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/parts\/39"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/186\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/media?parent=186"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapter-type?post=186"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/contributor?post=186"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/license?post=186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}