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For the drivers who were issued parking tickets, what is the median nu
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28 Jul 2025, 08:59
28 Jul 2025, 08:59
Expert Reply
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For the drivers who were issued parking tickets, what is the median number of tickets issued per driver?
A. 2.0
B. 2.5
C. 3.0
D. 3.5
E. 4.0
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Re: For the drivers who were issued parking tickets, what is the median nu
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14 Aug 2025, 21:58
14 Aug 2025, 21:58
Expert Reply
Step 1: Find the total number of drivers.
The graph shows the number of drivers for each ticket category.
- 1 ticket: 52 drivers
- 2 tickets: 35 drivers
- 3 tickets: 40 drivers
- 4 tickets: 22 drivers
- 5 tickets: 6 drivers
- 6 or more tickets: 8 drivers
Sum the number of drivers from each category:
Total Drivers $\(=52+35+40+22+6+8=163\)$ drivers.
Note that the prompt states the total number of tickets is 420 , not the total number of drivers.
The median is based on the number of drivers, so we use the sum of drivers (163).
Step 2: Determine the position of the median.
The median is the middle value in a dataset. For a dataset with 163 values (an odd number), the median is the value at position $\(\frac{163+1}{2}=82\)$. We need to find the 82 nd driver in the ordered list of ticket counts.
Step 3: Find the category containing the median.
We'll count the drivers cumulatively to find where the 82 nd driver falls.
- 1 ticket: The first 52 drivers received 1 ticket.
- 2 tickets: The next 35 drivers (from position 53 to $\(52+35=87\)$ ) received 2 tickets.
Since the 82 nd position is between 53 and 87 , the 82 nd driver is in the category of drivers who received 2 tickets.
Therefore, the median number of tickets issued per driver is 2.
The final answer is A. 2.0.
The graph shows the number of drivers for each ticket category.
- 1 ticket: 52 drivers
- 2 tickets: 35 drivers
- 3 tickets: 40 drivers
- 4 tickets: 22 drivers
- 5 tickets: 6 drivers
- 6 or more tickets: 8 drivers
Sum the number of drivers from each category:
Total Drivers $\(=52+35+40+22+6+8=163\)$ drivers.
Note that the prompt states the total number of tickets is 420 , not the total number of drivers.
The median is based on the number of drivers, so we use the sum of drivers (163).
Step 2: Determine the position of the median.
The median is the middle value in a dataset. For a dataset with 163 values (an odd number), the median is the value at position $\(\frac{163+1}{2}=82\)$. We need to find the 82 nd driver in the ordered list of ticket counts.
Step 3: Find the category containing the median.
We'll count the drivers cumulatively to find where the 82 nd driver falls.
- 1 ticket: The first 52 drivers received 1 ticket.
- 2 tickets: The next 35 drivers (from position 53 to $\(52+35=87\)$ ) received 2 tickets.
Since the 82 nd position is between 53 and 87 , the 82 nd driver is in the category of drivers who received 2 tickets.
Therefore, the median number of tickets issued per driver is 2.
The final answer is A. 2.0.
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