Over a 15-day period, a team tracked the completion of 60 project milestones. The table shows the cumulative number of milestones completed by the end of each day. Each milestone is completed on a single day and not shared between days. No milestones were completed before Day 1 or after Day 15.
Based on the information provided, select from each drop-down menu the option that best completes the statements below.The key to getting this question correct is noticing that the graph presents information on the "cumulative" number of milestones completed by the end of each day. In other words, the number for each day is the total of the number of milestones completed on that day and the numbers completed on the preceding days.
For instance, the number 6 for day 3 represents the sum of 4 milestones completed by the end of day 2 and 2 more milestones completed by the end of day 3.
The average number of milestones completed per day during this 15-day period is closest to __________.Understanding that the graph presents the cumulative number of milestones completed by the end of each day, we can see that the number 60 for day 15 represents the total number of milestones completed on all 15 days.
Average = Milestones/Days = 60/15 = 4
For the first dropdown, select
4.
On __________ of the 15 days, the team completed at least 5 milestones more than it did on the previous day.To get this part correct, we need to understand what the question is asking. Reading carefully, we see that we need to find the number of days such the number of milestones completed during that day is at least 5 greater than the number completed during the previous day.
To find any such days, we can first calculate the number of milestones completed on each day, then calculate the number completed on the following day, and then see whether the difference between the number completed for any two adjacent days is greater than 5.
For clarity, I've listed below the number completed on each day, though we don't really have to create such a list to answer the question. We can instead work our way up the graph and mentally calculate the number completed each day and compare it with the number completed on the following day.
Day 1: 0
Day 2: 4 - 0 = 4
Day 3: 6 - 4 = 2
Day 4: 10 - 6 = 4
Day 5: 17 - 10 = 7
Day 6: 23 - 17 = 6
Day 7: 27 - 23 = 4
Day 8: 34 - 27 = 7
Day 9: 38 - 34 = 4
Day 10: 41 - 38 = 3
Day 11: 47 - 41 = 6
Day 12: 51 - 47 = 4
Day 13: 54 - 51 = 3
Day 14: 56 - 54 = 2
Day 15: 60 - 56 = 4
Scanning all the numbers completed, we see that in no case is the difference between the numbers completed on two adjacent days greater than 5.
For the second dropdown, select
0.
Correct answer: 4,
0