Median Parking Time
1. **State the problem:** We are given parking times (in minutes) for weekdays and weekends in a back-to-back stem-and-leaf plot format. We need to determine which group had the greater median parking time.
2. **Recall the median definition:** The median is the middle value when data points are arranged in ascending order. If there is an even number of data points, the median is the average of the two middle values.
3. **Extract and list the data points:**
- Weekdays data points (from stems 6 to 8):
- 6: 5, 2
- 5: 5, 3, 3, 2, 2
- 5: 3, 2, 0, 0
- 1 (stem 1 is likely a typo or misread, ignore as no leaves given)
- 8 (stem 8): no leaves given explicitly, assume none
Combining and sorting all weekday data: 0, 0, 2, 2, 2, 3, 3, 5, 5
- Weekends data points (from stems 2 to 4):
- 2: 0, 0, 2
- 2: 5, 5, 5, 6, 6, 7, 9
- 0, 9, 9 (likely from stem 1 or 0, but given as weekend data, include 0, 9, 9)
- 4: 7
Combining and sorting all weekend data: 0, 0, 2, 5, 5, 5, 6, 6, 7, 7, 9, 9
4. **Count the number of data points:**
- Weekdays: 9 data points
- Weekends: 12 data points
5. **Find the median for weekdays:**
- With 9 points, median is the 5th value.
- Sorted weekdays: 0, 0, 2, 2, 2, 3, 3, 5, 5
- Median = 5th value = 2
6. **Find the median for weekends:**
- With 12 points, median is average of 6th and 7th values.
- Sorted weekends: 0, 0, 2, 5, 5, 5, 6, 6, 7, 7, 9, 9
- 6th value = 5, 7th value = 6
- Median = (5 + 6) / 2 = 5.5
7. **Compare medians:**
- Weekdays median = 2
- Weekends median = 5.5
- Therefore, weekends had the greater median parking time.
**Final answer:** Weekends had the greater median parking time.