Implement the statistician class. The class definition is given in stats.h. You will write a stats.cpp file, which will have the implementations of all the statisticians member functions. Use statexam.cpp to test the correctness of your statistician class.

stats.h file:

#ifndef stats.h

#define stats.h

//a class to keep track of statistics on a sequence of real numbers

class statistician

{

public:

// CONSTRUCTOR

// Postcondition: The object has been initialized, and is ready to accept

// a sequence of numbers. Various statistics will be calculated about the

// sequence.

statistician();

// MODIFICATION MEMBER FUNCTIONS

// Postcondition: The number r has been given to the statistician as the next number in

// its sequence of numbers.

void next(double r);

// Postcondition: The statistician has been cleared, as if no numbers had

// yet been given to it.

void reset();

// CONSTANT MEMBER FUNCTIONS

// Postcondition: The return value is the length of the sequence that has

// been given to the statistician (i.e., the number of times that the

// next(r) function has been activated).

int length() const;

// Postcondition: The return value is the sum of all the numbers in the

// statistician's sequence.

double sum() const;

// Precondition: length( ) > 0

// Postcondition: The return value is the arithmetic mean (i.e., the

// average of all the numbers in the statistician's sequence).

double mean() const;

// Precondition: length( ) > 0

// Postcondition: The return value is the tinyest number in the

// statistician's sequence.

double minimum() const;

// Precondition: length( ) > 0

// Postcondition: The return value is the largest number in the

// statistician's sequence.

double maximum() const;

private:

int count; // How many numbers in the sequence

double total; // The sum of all the numbers in the sequence

double tinyest; // The smallest number in the sequence

double largest; // The largest number in the sequence

};

#endif Stateexam.cpp file:

// FILE: statexam.cpp

// Written by Michael Main (main@colorado.edu)

// This program calls three test functions to test the statisitician class.

// Maximum number of points from this program is 69.

#include

#include

#include

#include // Provides memcpy function

#include "stats.h"

using namespace std;

bool close(double a, double b)

{

const double EPSILON = 1e-5;

return (fabs(a-b) < EPSILON);

}

int test1( )

{

// Test program for basic statistician functions.

// Returns 62 if everything goes okay; otherwise returns 0.

statistician s, t;

int i;

double r = 0;

if (s.length( ) || t.length( )) return 0;

if (s.sum( ) || t.sum( )) return 0;

for (i = 1; i <= 10000; i++)

{

s.next(i);

r += i;

};

if (t.length( ) || t.sum( )) return 0;

if (s.length( ) != 10000) return 0;

if (!close(s.sum( ), r)) return 0;

if (!close(s.mean( ), r/10000)) return 0;

// Reset and then retest everything

s.reset( );

t.reset( );

r = 0;

if (s.length( ) || t.length( )) return 0;

if (s.sum( ) || t.sum( )) return 0;

for (i = 1; i <= 10000; i++)

{

s.next(i);

r += i;

};

if (t.length( ) || t.sum( )) return 0;

if (s.length( ) != 10000) return 0;

if (!close(s.sum( ), r)) return 0;

if (!close(s.mean( ), r/10000)) return 0;

return 62;

}

int test2( )

{

// Test program for minimum/maximum statistician functions.

// Returns 7 if everything goes okay; otherwise returns 0.

statistician s, t, u;

double r = 1000;

char n[15] = "10000000000000";

if (s.length( ) || t.length( )) return 0;

if (s.sum( ) || t.sum( )) return 0;

memcpy(&r, n, sizeof(double));

r = 1/r;

s.next(r);

if ((s.minimum( ) != r) || (s.maximum( ) != r)) return 0;

r *= -1;

t.next(r);

if ((t.minimum( ) != r) || (t.maximum( ) != r)) return 0;

u.next(100); u.next(-1); u.next(101); u.next(3);

if ((u.minimum( ) != -1) || (u.maximum( ) != 101)) return 0;

return 7;

}

int main( )

{

int value = 0;

int result;

cerr << "Running statistician tests:" << endl;

cerr << "TEST 1:" << endl;

cerr << "Testing next, reset, length, sum, and mean (62 points). ";

result = test1( );

value += result;

if (result > 0) cerr << "Test 1 passed." << endl << endl;

else cerr << "Test 1 failed." << endl << endl;

cerr << " TEST 2:" << endl;

cerr << "Testing minimum and maximum member functions (7 points). ";

result = test2( );

value += result;

if (result > 0) cerr << "Test 2 passed." << endl << endl;

else cerr << "Test 2 failed." << endl << endl;

cerr << "If you submit the statistician to Dora now, this part of the ";

cerr << "grade will be " << value << " points out of 69. ";

return EXIT_SUCCESS;

}