Question

C++ programming language

POINTERS

Write a program that dynamically allocates an array, on the Heap, large enough to hold 200 test scores between 55 and 99 -- using a Random Number generator to populate the array. Then do the following:

1) Sort scores in ascending order.
2) List your scores in rows of ten(10) values.
3) Calculate the Mean for the distribution.
4) Calculate the Variance for the distribution.
5) Calculate the Median for the distribution.
6) Calculate the Mode for the distribution.
7) Determine the number of scores in each of
the discrete intervals specified below:

55-59|**
60-64|***
65-69|*****
70-74|******
75-79|***********
80-84|****
85-89|***
90-94|**
95-99|*
|----|----|----|----|----|----|----|----|
0 5 10 15 20 25 30 3 5 40

7a) List the number of scores in each interval.

7b) Display your Histogram Chart distribution to the Console screen.

Answer 1

Code with sample output

#include <iostream>
#include <stdlib.h>
using namespace std;

int main ()
{
int i,n,j,temp,count=1,highestCount=1, mode,num;
float sum =0,mean,count1=0,count2=0,count3=0,count4=0,count5=0,count6=0,count7=0,count8=0,count9=0;
int * array1;
//hold 200 elements
array1= new (nothrow) int[200];
n=200;
if (array1== NULL)
cout << "Error: memory could not be allocated";
else
{
for (i=0; i<n; i++)
{
//random number generator
array1[i]=rand() % (99 - 55) + 55;
}
//sort
for (i = 0; i < n-1; i++)   
  
// Last i elements are already in place
for (j = 0; j < n-1-i; j++)
if (array1[j] > array1[j+1])
{
temp = array1[j];
array1[j] = array1[j+1];
array1[j+1] = temp;
}
//displau in rows of 10 values   
for (i=0; i<n; i++){
cout << array1[i] << " ";
if(i%10==9)
cout<<"\n";
}
//mean
for (i=0; i<n; i++)
sum+=array1[i];
mean = sum/n;
cout<<"\nMean ="<<mean;
//mode
num = array1[0];
for (i=1; i<n; i++)
{
if (array1[i] == num)
{ // count occurrences of the current number
count++;
}
else
{ // encountered different number check if this count is higher than previous count if yes make that mode
if (highestCount< count)
{
highestCount = count;
mode = num;
}
count = 1; // reset count for the new number
num = array1[i];
}
}

cout << "\nMode of the array is: " << mode<<"\n";
for (i=0; i<n; i++)
{ if(array1[i]<=59)
count1++;
else if(array1[i]<=64)
count2++;
else if(array1[i]<=69)
count3++;
else if(array1[i]<=74)
count4++;
else if(array1[i]<=79)
count5++;
else if(array1[i]<=84)
count6++;
else if(array1[i]<=89)
count7++;
else if(array1[i]<=94)
count8++;
else
count9++;

}
cout<<"\n Count 55-59 : "<<count1;
cout<<"\n Count 60-64 : "<<count2;
cout<<"\n Count 65-69 : "<<count3;
cout<<"\n Count 70-74 : "<<count4;
cout<<"\n Count 75-79 : "<<count5;
cout<<"\n Count 80-84 : "<<count6;
cout<<"\n Count 85-89 : "<<count7;
cout<<"\n Count 90-94 : "<<count8;
cout<<"\n Count 95-99 : "<<count9;
//clear array which is allocated dynamically
delete[] array1;
}
return 0;
}

sample output