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Answer :
The value 1 is at the 30th percentile in the given set.
To determine the percentile at which the value 1 falls within the given set, we need to calculate the cumulative frequency and the total number of values in the set.
Given set of values: 1, 1, 1, 1, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 89, 89, 89, 89, 89
Step 1: Sort the values in ascending order:
1, 1, 1, 1, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 89, 89, 89, 89, 89
Step 2: Determine the cumulative frequency of values less than or equal to 1:
Cumulative Frequency = Number of values less than or equal to 1 / Total number of values
In this case, there are 6 values less than or equal to 1 (all the 1s in the set), and the total number of values is 20.
Cumulative Frequency = 6 / 20 = 0.3
Step 3: Convert the cumulative frequency to a percentile:
Percentile = Cumulative Frequency x 100
Percentile = 0.3 x 100 = 30
Therefore, the value 1 is at the 30th percentile in the given set.
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