This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the questions: 2.1.1 Step 1: Identify Wendy's hours worked for each week from the graph. Wendy's hours are: 4 (Week 1), 3 (Week 2), 5 (Week 3), 4 (Week 4), 6 (Week 5), 5 (Week 6). Step 2: Determine the minimum and maximum hours Wendy worked. Minimum hours = 3 Maximum hours = 6 Step 3: Calculate the range. Range = Maximum hours - Minimum hours = 6 - 3 = 3 The range of hours that Wendy worked is 3 hours. 2.1.2 Step 1: List all individual hours worked by Wendy, Thandi, and Sindi over the six weeks. Wendy: 4, 3, 5, 4, 6, 5 Thandi: 5, 4, 6, 5, 7, 6 Sindi: 3, 2, 4, 3, 5, 4 Step 2: Combine all hours into a single list and sort them in ascending order. The combined list of 18 hours is: 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7. Step 3: Determine the median. Since there are 18 data points (an even number), the median is the average of the two middle values (the 9th and 10th values). The 9th value is 4. The 10th value is 5. Median = (4 + 5)/(2) = (9)/(2) = 4.5 The median number of hours worked over the six weeks is 4.5 hours. 2.1.3 Step 1: Identify Thandi's hours worked for each week from the graph. Thandi's hours are: 5 (Week 1), 4 (Week 2), 6 (Week 3), 5 (Week 4), 7 (Week 5), 6 (Week 6). Step 2: Calculate the sum of Thandi's hours. Sum = 5 + 4 + 6 + 5 + 7 + 6 = 33 Step 3: Calculate the mean number of hours. There are 6 weeks. Mean = SumNumber of weeks = (33)/(6) = 5.5 The mean number of hours that Thandi worked is 5.5 hours. 2.1.4 Step 1: Calculate the total hours worked by all students for each week. Week 1: 4 + 5 + 3 = 12 hours Week 2: 3 + 4 + 2 = 9 hours Week 3: 5 + 6 + 4 = 15 hours Week 4: 4 + 5 + 3 = 12 hours Week 5: 6 + 7 + 5 = 18 hours Week 6: 5 + 6 + 4 = 15 hours Step 2: Identify the busiest week. The busiest week is Week 5, with a total of 18 hours worked. Step 3: Calculate the mean number of hours worked in the busiest week. In Week 5, 18 hours were worked by 3 students. Mean = Total hours in Week 5Number of students = (18)/(3) = 6 The mean number of hours worked in the busiest week is 6 hours. 2.2 The question is incomplete. Please provide the specific question related to the box of pens. That's 2 down. 3 left today — send the next one.