Question

write a program code that asks the user how many numbers they wish to find the statistics of and then asks the user to enter those numbers. The program must then calculate and display the average variance and standard deviation of the numbers entered by the user.

the program code must

-ask three user how many numbers they wish to find the statistics of

-ask the user to enter those numbers and store them in an array

- use a loop to calculate the average of those numbers

-use a loop to calculate the variance of the numbers

- calculate the standard deviation of the numbers

- display the average , variance , and standard deviation of the numbers  

Answer 1

here I use c language for writing the code

find average of the numbers

find variance of the numbers

find standard deviation

Average of the numbers:

the sum of all the numbers stored in the array. divided the sum by total number of elements

variance: the average of the squared differences from the mean

the formula for variance:  ∑ [array[i] - average]]/(n)

standard deviation: it is a measure of variation or dispersion of a set of values

it is calculated the square root of the variance

formula : squate_root(variance)

code :

#include <stdio.h>
#include <math.h>

void
main ()
{
float array[100];
int i, n;
float average, variance, Standard_deviation, sum = 0, sum1 = 0;

printf ("how many numbers they wish to find the statistics of: \n");
scanf ("%d", &n);
printf ("the user to enter those numbers:\n");
for (i = 0; i < n; i++)
{
scanf ("%f", &array[i]);
}
//the values of the array
printf ("the numbers in the array:");
for (i = 0; i < n; i++)
{
printf ("%6.1f", array[i]);
}
printf ("\n");
// find average of the numbers
for (i = 0; i < n; i++)
{
sum = sum + array[i];
}
average = sum / (float) n;

//find the variance of the numbers
for (i = 0; i < n; i++)
{
sum1 = sum1 + pow ((array[i] - average), 2);
}
variance = sum1 / (float) n;

//find the Standard deviation
Standard_deviation = sqrt (variance);

//display the result

printf ("Average of all the numbers = %.2f\n", average);
printf ("variance of all the numbers = %.2f\n", variance);
printf ("Standard deviation = %.2f\n", Standard_deviation);
}

output: