A dataset contains the following values: 23, 28, 37, 23, 45, 49, 37, 62. Rank the values. Which rank is associated with value 37?
Question
A dataset contains the following values:
23, 28, 37, 23, 45, 49, 37, 62.
Rank the values. Which rank is associated with value 37?
Solution
1. Break Down the Problem
We need to rank a dataset and identify the rank associated with a specific value (37). The steps involve sorting the data and determining the rank of the specified value.
2. Relevant Concepts
- Rank: The position of a value in a sorted list.
- In case of ties (multiple instances of the same value), ranks may need to be averaged or assigned sequentially.
3. Analysis and Detail
- Dataset: {23, 28, 37, 23, 45, 49, 37, 62}
- Sort the Dataset: To find the ranks, we first need to sort the values in ascending order.
- Sorted Dataset: {23, 23, 28, 37, 37, 45, 49, 62}
- Assign Ranks:
- Rank 1: 23
- Rank 2: 23
- Rank 3: 28
- Rank 4: 37
- Rank 5: 37
- Rank 6: 45
- Rank 7: 49
- Rank 8: 62
4. Verify and Summarize
The ranks indicate that the value 37 appears in rank 4 and also rank 5 due to its two occurrences in the dataset.
Final Answer
The value 37 is associated with ranks 4 and 5 in the dataset.
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