Cumulative Frequency & Box Plots
1. This question has 4 part(s).
1.1. The manager of a call centre asked the 120 people, who rang the call centre last week, how long they each waited before their call was answered.
The table gives information about their replies.
Time waited ( minutes) | Frequency |
0</p></td><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">8</p></td></tr><tr><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">\(5</p></td><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">15</p></td></tr><tr><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">\(10</p></td><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">17</p></td></tr><tr><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">\(15</p></td><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">28</p></td></tr><tr><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">\(20</p></td><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">33</p></td></tr><tr><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">\(25</p></td><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">19</p></td></tr></table><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">Complete the cumulative frequency table.</p><table><tr><td><p style="line-height: 1.7" class="text-lg tracking-wide font-normal leading-relaxed">Time waited (\(t minutes) | Cumulative Frequency |
\(0 | |
\(0 | |
\(0 | |
\(0 | |
\(0 | |
\(0 |
1.2. On the grid, draw a cumulative frequency graph for your table.
1.3. Use your graph to find an estimate for the median of the times waited.
...................................................... minutes
1.4. Using your graph, find an estimate for the percentage of the 120 people who said that they waited longer than 23 minutes before their call was answered.
Show your working clearly.
......................................................%
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