To find the percentile of 32, we first need to determine its rank. The rank of a value represents the position it holds in the ordered set of values.
The given set of values is already ordered from smallest to largest:
1 1 2 3 5 8 13 21 32 56 88 88 88 88 88
The rank of 32 can be found by counting the number of values that are smaller than it, and adding 1 (to account for the value itself):
Rank of 32 = (number of values smaller than 32) + 1 = 9 + 1 = 10
To find the percentile corresponding to this rank, we can use the formula:
percentile = (rank / total number of values) x 100
In this case, there are 16 values in the set, so the total number of values is 16. Therefore:
percentile = (10 / 16) x 100 ≈ 62.5
So 32 is at the 62.5th percentile.
Consider the set of values below. At what percentile is 32 1 1 2 3 5 8 13 21 32 56 88 88 88 88 88 32 is at the th percentile ( Simplify your answer)
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