Given: √2 = 1.414213562373095... What is the mode of the first 14 digits of √2?
Question
Given: √2 = 1.414213562373095... What is the mode of the first 14 digits of √2?
Solution
The mode of a set of values is the value that appears most frequently.
The first 14 digits of √2 are 1, 4, 1, 4, 2, 1, 3, 5, 6, 2, 3, 7, 3, 0, 9, 5.
Counting the frequency of each digit, we get:
- 1 appears 3 times
- 4 appears 2 times
- 2 appears 2 times
- 3 appears 3 times
- 5 appears 2 times
- 6 appears 1 time
- 7 appears 1 time
- 0 appears 1 time
- 9 appears 1 time
So, the mode of the first 14 digits of √2 is 1 and 3, as they appear most frequently (3 times each).
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