find the variance of all values in a map in go

To find the variance of all values in a map in Go, we can follow these steps:

  1. Calculate the mean (average) value of all the values in the map.

  2. For each value in the map, calculate the difference between the value and the mean, square the difference, and add it to a sum.

  3. Divide the sum by the number of values in the map (i.e., the map length or size) to get the variance.

Here is the Go code that implements this logic:

main.go
package main

import (
	"fmt"
	"math"
)

func variance(m map[int]float64) float64 {
	// Step 1: Calculate the mean value
	var sum float64
	for _, v := range m {
		sum += v
	}
	mean := sum / float64(len(m))

	// Step 2: Calculate the difference between each value and the mean, square it, and add it to a sum
	var sqDiffSum float64
	for _, v := range m {
		diff := v - mean
		sqDiffSum += math.Pow(diff, 2)
	}

	// Step 3: Divide the sum by the number of values in the map to get the variance
	variance := sqDiffSum / float64(len(m))

	return variance
}

func main() {
	// Example usage
	m := map[int]float64{1: 2, 2: 4, 3: 6, 4: 8, 5: 10}
	result := variance(m)
	fmt.Println(result) // Output: 8
}
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In this example, we have a map with five float64 values. We calculate the variance of the values and print it to the console, which in this case returns 8.

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