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Added Percentile function to calculate the p-th percentile of a slice of float64 numbers.
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@ -12,8 +12,7 @@ import (
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// Mean returns the mean (average) of a slice of float64 numbers.
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//
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// Special cases are:
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//
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// Mean([]float64{}) = 0
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// Mean([]float64{}) = 0
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func Mean(numbers []float64) float64 {
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if len(numbers) == 0 {
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return 0
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@ -30,29 +29,30 @@ func Mean(numbers []float64) float64 {
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// Median returns the median of a slice of float64 numbers.
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//
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// Special cases are:
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//
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// Median([]float64{}) = 0
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// Median([]float64{}) = 0
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func Median(numbers []float64) float64 {
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if len(numbers) == 0 {
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return 0
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}
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// Create a sorted copy of the input slice
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sorted := make([]float64, len(numbers))
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copy(sorted, numbers)
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sort.Float64s(sorted)
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n := len(sorted)
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if n%2 == 0 {
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// If even, return the average of the two middle numbers
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return (sorted[n/2-1] + sorted[n/2]) / 2
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}
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// If odd, return the middle number
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return sorted[n/2]
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}
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// Mode returns the mode(s) of a slice of float64 numbers.
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//
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// Special cases are:
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//
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// Mode([]float64{}) = nil
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// Mode([]float64{}) = nil
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func Mode(numbers []float64) []float64 {
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if len(numbers) == 0 {
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return nil
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@ -83,8 +83,7 @@ func Mode(numbers []float64) []float64 {
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// Variance returns the variance of a slice of float64 numbers.
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//
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// Special cases are:
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//
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// Variance([]float64{}) = 0
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// Variance([]float64{}) = 0
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func Variance(numbers []float64) float64 {
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if len(numbers) == 0 {
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return 0
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@ -103,8 +102,34 @@ func Variance(numbers []float64) float64 {
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// StdDev returns the standard deviation of a slice of float64 numbers.
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//
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// Special cases are:
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//
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// StdDev([]float64{}) = 0
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// StdDev([]float64{}) = 0
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func StdDev(numbers []float64) float64 {
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return math.Sqrt(Variance(numbers))
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}
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}
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// Percentile returns the p-th percentile of a slice of float64 numbers.
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// The percentile is the value below which a given percentage of observations fall.
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//
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// Special cases are:
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// Percentile([]float64{}, p) = 0 for any p
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func Percentile(numbers []float64, p float64) float64 {
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if len(numbers) == 0 || p < 0 || p > 100 {
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return 0
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}
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// Sort the slice
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sorted := make([]float64, len(numbers))
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copy(sorted, numbers)
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sort.Float64s(sorted)
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index := (p / 100) * float64(len(sorted)-1)
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i := int(index)
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// Handle the case for interpolation between two values if not an integer
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if index == float64(i) {
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return sorted[i]
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}
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// Linear interpolation
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return sorted[i]*(float64(i+1)-index) + sorted[i+1]*(index-float64(i))
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}
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