According to Chebyshev's Theorem- if 1000 students took an exam- how m.docx
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According to Chebyshev's Theorem, if 1000 students took an exam, how many of them would score within 2 standard deviations of the mean? At least students. If we know that the grades form a symmetric distribution, then how many of those students should score within 2 standard deviations of the mean? (Round your answer to the nearest whole number). At least students. .
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int rear;
int size;
public :
Deque(int size)
{
front = -1;
rear = 0;
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}
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void insertfront(int key);
void insertrear(int key);
void deletefront();
void deleterear();
bool isFull();
bool isEmpty();
int getFront();
int getRear();
};
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bool Deque::isFull()
{
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}
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bool Deque::isEmpty ()
{
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}
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{
// check whether Deque if full or not
if (isFull())
{
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{
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}
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{
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{
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{
int arr[MAX];
int front;
int rear;
int size;
public :
Deque(int size)
{
front = -1;
rear = 0;
this->size = size;
}
// Operations on Deque:
void insertfront(int key);
void insertrear(int key);
void deletefront();
void deleterear();
bool isFull();
bool isEmpty();
int getFront();
int getRear();
};
// Checks whether Deque is full or not.
bool Deque::isFull()
{
return ((front == 0 && rear == size-1)||
front == rear+1);
}
// Checks whether Deque is empty or not.
bool Deque::isEmpty ()
{
return (front == -1);
}
// Inserts an element at front
void Deque::insertfront(int key)
{
// check whether Deque if full or not
if (isFull())
{
cout << "Overflow\n" << endl;
return;
}
// If queue is initially empty
if (front == -1)
{
front = 0;
rear = 0;
}
// front is at first position of queue
else if (front == 0)
front = size - 1 ;
else // decrement front end by '1'
front = front-1;
// insert current element into Deque
arr[front] = key ;
}
// function to inset element at rear end
// of Deque.
void Deque ::insertrear(int key)
{
if (isFull())
{
cout << " Overflow\n " << endl;
return;
}
// If queue is initially empty
if (front == -1)
{
front = 0;
rear = 0;
}
// rear is at last position of queue
else if (rear == size-1)
rear = 0;
// increment rear end by '1'
else
rear = rear+1;
// insert current element into Deque
arr[rear] = key ;
}
// Deletes element at front end of Deque
void Deque ::deletefront()
{
// check whether Deque is empty or not
if (isEmpty())
{
cout << "Queue Underflow\n" << endl;
return ;
}
// Deque has only one element
if (front == rear)
{
front = -1;
rear = -1;
}
else
// back to initial position
if (front == size -1)
front = 0;
else // increment front by '1' to remove current
// front value from Deque
front = front+1;
}
// Delete element at rear end of Deque
void Deque::deleterear()
{
if (isEmpty())
{
cout << " Underflow\n" << endl ;
return ;
}
// Deque has only one element
if (front == rear)
{
front = -1;
rear = -1;
}
else if (rear == 0)
rear = size-1;
else
rear = rear-1;
}
// Returns front element of Deque
int Deque::getFront()
{
// check whether Deque is empty or not
if (isEmp.
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