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QuestionMathematics
Provide the first 12 digits of π and determine their mode and median.
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Step 1:I'll solve this problem step by step, following the specified LaTeX and formatting guidelines:
Step 2:: Identify the first 12 digits of π
The first 12 digits of π are: 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8
Step 3:: Arrange the digits in order
\{1, 1, 3, 3, 4, 5, 5, 6, 8, 9, 2, 6\}
Step 4:: Determine the Mode
We have multiple modes: $$1, 3, 5
The mode is the most frequently occurring number. Frequency count: - Other digits appear 1 time each Therefore, the mode is not unique.
Step 5:: Determine the Median
Median calculation: $$\frac{5 + 5}{2} = 5
For an even number of digits, the median is the average of the two middle numbers when sorted.
Final Answer
- Modes: 1, 3, 5 - Median: 5
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