Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
To determine which city's data set is bimodal, we should examine each city's temperature data set and look for bimodal distributions, which are distributions with two different modes that occur with the highest frequency.
### Analyzing each city:
1. City A:
- Temperatures: \(10, 12, 10, 14, 15, 16, 21, 14, 28, 10, 21, 22\)
- Frequency count:
\(10 \to 3\),
\(12 \to 1\),
\(14 \to 2\),
\(15 \to 1\),
\(16 \to 1\),
\(21 \to 2\),
\(28 \to 1\),
\(22 \to 1\)
- The highest frequency is \(3\) (occurs for temperature \(10\)). The second highest frequency is \(2\) (occurs for temperatures \(14\) and \(21\)).
- Since it does not have two distinct values sharing the highest frequency, the data set for City A is not bimodal.
2. City B:
- Temperatures: \(25, 38, 27, 25, 26, 37, 29, 25, 30, 25, 25, 27\)
- Frequency count:
\(25 \to 5\),
\(38 \to 1\),
\(27 \to 2\),
\(26 \to 1\),
\(37 \to 1\),
\(29 \to 1\),
\(30 \to 1\)
- The highest frequency is \(5\) (occurs for temperature \(25\)). The second highest frequency is \(2\) (occurs for temperature \(27\)).
- Since it does not have two distinct values sharing the highest frequency, the data set for City B is not bimodal.
3. City C:
- Temperatures: \(43, 42, 39, 42, 41, 53, 62, 66, 66, 38, 42, 66\)
- Frequency count:
\(43 \to 1\),
\(42 \to 3\),
\(39 \to 1\),
\(41 \to 1\),
\(53 \to 1\),
\(62 \to 1\),
\(66 \to 3\),
\(38 \to 1\)
- The highest frequency is \(3\) (occurs for temperatures \(42\) and \(66\)).
- Since the highest frequency is \(3\) for both \(42\) and \(66\), the data set for City C is bimodal.
4. City D:
- Temperatures: \(53, 56, 78, 70, 76, 53, 78, 78, 73, 72, 68, 68\)
- Frequency count:
\(53 \to 2\),
\(56 \to 1\),
\(78 \to 3\),
\(70 \to 1\),
\(76 \to 1\),
\(73 \to 1\),
\(72 \to 1\),
\(68 \to 2\)
- The highest frequency is \(3\) (occurs for temperature \(78\)). The second highest frequency is \(2\) (occurs for temperatures \(53\) and \(68\)).
- Since it does not have two distinct values sharing the highest frequency, the data set for City D is not bimodal.
### Conclusion:
Only City C has a bimodal distribution, with temperatures \(42\) and \(66\) both occurring the highest number of times (3 times each).
Therefore, the answer is:
C) City C
### Analyzing each city:
1. City A:
- Temperatures: \(10, 12, 10, 14, 15, 16, 21, 14, 28, 10, 21, 22\)
- Frequency count:
\(10 \to 3\),
\(12 \to 1\),
\(14 \to 2\),
\(15 \to 1\),
\(16 \to 1\),
\(21 \to 2\),
\(28 \to 1\),
\(22 \to 1\)
- The highest frequency is \(3\) (occurs for temperature \(10\)). The second highest frequency is \(2\) (occurs for temperatures \(14\) and \(21\)).
- Since it does not have two distinct values sharing the highest frequency, the data set for City A is not bimodal.
2. City B:
- Temperatures: \(25, 38, 27, 25, 26, 37, 29, 25, 30, 25, 25, 27\)
- Frequency count:
\(25 \to 5\),
\(38 \to 1\),
\(27 \to 2\),
\(26 \to 1\),
\(37 \to 1\),
\(29 \to 1\),
\(30 \to 1\)
- The highest frequency is \(5\) (occurs for temperature \(25\)). The second highest frequency is \(2\) (occurs for temperature \(27\)).
- Since it does not have two distinct values sharing the highest frequency, the data set for City B is not bimodal.
3. City C:
- Temperatures: \(43, 42, 39, 42, 41, 53, 62, 66, 66, 38, 42, 66\)
- Frequency count:
\(43 \to 1\),
\(42 \to 3\),
\(39 \to 1\),
\(41 \to 1\),
\(53 \to 1\),
\(62 \to 1\),
\(66 \to 3\),
\(38 \to 1\)
- The highest frequency is \(3\) (occurs for temperatures \(42\) and \(66\)).
- Since the highest frequency is \(3\) for both \(42\) and \(66\), the data set for City C is bimodal.
4. City D:
- Temperatures: \(53, 56, 78, 70, 76, 53, 78, 78, 73, 72, 68, 68\)
- Frequency count:
\(53 \to 2\),
\(56 \to 1\),
\(78 \to 3\),
\(70 \to 1\),
\(76 \to 1\),
\(73 \to 1\),
\(72 \to 1\),
\(68 \to 2\)
- The highest frequency is \(3\) (occurs for temperature \(78\)). The second highest frequency is \(2\) (occurs for temperatures \(53\) and \(68\)).
- Since it does not have two distinct values sharing the highest frequency, the data set for City D is not bimodal.
### Conclusion:
Only City C has a bimodal distribution, with temperatures \(42\) and \(66\) both occurring the highest number of times (3 times each).
Therefore, the answer is:
C) City C
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.