Topic Review — Time and Data Analysis

Review Questions

1. 12-hour and 24-hour time. Fluency

   1. Convert 8:45 pm to 24-hour time.
   2. Convert 0315 to 12-hour time.
   3. Convert 12:10 am to 24-hour time.
   4. Convert 1925 to 12-hour time.
   5. A movie starts at 1840 and runs for 2 hours 35 minutes. At what time (in 24-hour format) does it finish?
   6. How long is the duration from 0735 to 1410?

2. Time zones. Fluency

   Reference: Brisbane = UTC+10, Perth = UTC+8, London = UTC+0, New York = UTC−5, Tokyo = UTC+9, Dubai = UTC+4.

   1. It is 4:00 pm in Brisbane. What time is it in London?
   2. It is 9:00 am in London. What time is it in Brisbane?
   3. It is 11:00 pm (Tuesday) in Brisbane. What time and day is it in New York?
   4. A flight leaves Brisbane at 2:00 pm (UTC+10) and arrives in Tokyo at 9:00 pm (UTC+9). What is the actual flight duration?
   5. It is 3:30 pm in Brisbane. What time is it in Perth?
   6. It is 6:00 am Tuesday in Tokyo. What time and day is it in London?

3. Reading data displays. Understanding

   Use this stem-and-leaf plot showing the ages (years) of members of a running club.

     Stem | Leaf
        2 | 4 6 8 9
        3 | 1 3 5 5 7
        4 | 0 2 6
        5 | 3 8
        6 | 1
     Key: 2 | 4 = 24 years
       

   1. How many members are in the running club?
   2. What is the age of the youngest member?
   3. What is the range of ages?
   4. What is the mode?
   5. What is the median age?
   6. What fraction of members are in their 30s?

4. Back-to-back stem-and-leaf and comparing data. Understanding

   The back-to-back plot shows the number of points scored per game by two basketball teams over 12 games.

     Tigers         | Stem | Lions
         9 8 5 3 1  |  6   | 2 4 5
             8 6 2  |  7   | 1 3 7 9
             9 5 4  |  8   | 0 6 8
                 7  |  9   | 2 4
   
     Key: 1 | 6 | 2 means Tigers scored 61, Lions scored 62
       

   1. List the Tigers’ scores in ascending order.
   2. Find the median score for each team.
   3. Find the range for each team.
   4. Which team had a higher median? What does this suggest?
   5. Which team had the single highest score in any game?
   6. Compare the spread of both teams’ scores using the range.

5. Extended time and data problem solving. Problem Solving

   1. A family drives from Brisbane to Sydney, departing at 6:30 am and arriving at 2:15 pm the same day.
      1. Calculate the total travel time in hours and minutes.
      2. They take two breaks: one of 25 minutes and one of 40 minutes. How much time are they actually driving?
      3. If they maintain an average speed of 100 km/h for the driving time, estimate the distance from Brisbane to Sydney.
   2. A sports commentator in London (UTC+0) needs to broadcast live results of a cricket match starting in Brisbane (UTC+10) at 10:30 am Thursday.
      1. What time and day does the broadcast start in London?
      2. If the match runs for 7 hours, what time does it finish in Brisbane and in London?
   3. The stem-and-leaf plot below is partially shown. The median is 47 and there are 11 values. Three values are in the 50s.

        Stem | Leaf
           3 | 2 ?
           4 | 1 ? 7 9
           5 | ? ? ?
                  

      1. How many values must be in the 30s and 40s combined?
      2. If the range is 28 and the minimum value is 32, what is the maximum value?
      3. Given the median is 47, is the 6th value (in ordered position) 47? Explain.