C ++变系数程序
给定一个大小为n的浮点值数组,任务是找到变化系数并显示结果。
变异系数是多少?
在统计量度中,变异系数用于通过给定的数据找到变异范围。在财务方面,使用变异系数来找到相对于投资额所涉及的风险量。如果标准差和均值之比较低,则投资涉及的风险也较低。变异系数是标准偏差和平均值之间的比率,由下式给出:
变异系数=标准偏差/平均值
示例
Input-: array[] = { 10.0, 21, 23, 90.0, 10.5, 32.56, 24, 45, 70.0 } Output-: coefficient of variation is : 0.75772 Input-: array[] = { 15.0, 36.0, 53.67, 25.45, 67.8, 56, 78.09} Output-: coefficient of variation is : 0.48177
给定程序中使用的方法如下-
输入包含浮点值的数组
计算给定数组上的均值和标准差的值
通过将标准偏差的值除以平均值来计算变异系数的值
将结果显示为变异系数
算法
Start Step 1-> declare function to calculate the value of mean float cal_mean(float arr[], int size) Declare float sum = 0 Loop For i = 0 and i < size and i++ Set sum = sum + arr[i] End return sum / size Step 2-> declare function to calculate the value of standard deviation float StandardDeviation(float arr[], int size) Declare float sum = 0 Loop For i = 0 and i < size and i++ Set sum = sum + (arr[i] - cal_mean(arr, size)) * (arr[i] - End Call cal_mean(arr, size)) return sqrt(sum / (size - 1)) Step 3-> Declare function to calculate coefficient of variation float CoefficientOfVariation(float arr[], int size) return StandardDeviation(arr, size) / cal_mean(arr, size) Step 4-> In main() Declare an array of float arr[] = { 10.0, 21, 23, 90.0, 10.5, 32.56, 24, 45, 70.0} Calculate the size of array as int size = sizeof(arr) / sizeof(arr[0]) Call function as CoefficientOfVariation(arr, size) Stop
示例
#include <bits/stdc++.h> using namespace std; //函数计算平均值。 float cal_mean(float arr[], int size) { float sum = 0; for (int i = 0; i < size; i++) sum = sum + arr[i]; return sum / size; } //计算标准偏差的功能 float StandardDeviation(float arr[], int size) { float sum = 0; for (int i = 0; i < size; i++) sum = sum + (arr[i] - cal_mean(arr, size)) * (arr[i] - cal_mean(arr, size)); return sqrt(sum / (size - 1)); } //函数来计算变异系数。 float CoefficientOfVariation(float arr[], int size) { return StandardDeviation(arr, size) / cal_mean(arr, size); } int main() { float arr[] = { 10.0, 21, 23, 90.0, 10.5, 32.56, 24, 45, 70.0}; int size = sizeof(arr) / sizeof(arr[0]); cout<<"coefficient of variation is : "<<CoefficientOfVariation(arr, size); return 0; }
输出结果
coefficient of variation is : 0.75772