In this tutorial, we will be discussing a program to implement standard error of mean.Standard error of mean is the estimation of sample mean dispersion from population mean. Then it is used to estimate the approximate confidence intervals for the mean.Example#include using namespace std; //calculating sample mean float calc_mean(float arr[], int n){    float sum = 0;    for (int i = 0; i < n; i++)       sum = sum + arr[i];    return sum / n; } //calculating standard deviation float calc_deviation(float arr[], int n){    float sum = 0;    for (int i = ... Read More

In this tutorial, we will be discussing a program to implement Run Length Encoding using Linked Lists.For this we will be given with a linked list. OUr task is too encode the elements of the Linked List using Run Length Encoding.For example, if the elements of the linked list are “a->a->a->a->a” then in run length encoding they will be replaced by “a → 5”.Example#include using namespace std; //structuring linked list node struct Node {    char data;    struct Node* next; }; //creating a new node Node* newNode(char data){    Node* temp = new Node;    temp->data = data; ... Read More

In this tutorial, we will be discussing a program to implement standard deviation of grouped data.For this we will be given with class interval and frequency of the class. Our task is to find the standard deviation of the grouped data.Example#include using namespace std; //finding mean of grouped data float calc_mean(float mid[], int freq[], int n){    float sum = 0, freqSum = 0;    for (int i = 0; i < n; i++) {       sum = sum + mid[i] * freq[i];       freqSum = freqSum + freq[i];    }    return sum / ... Read More

In this tutorial, we will be discussing a program to implement SImpson’s ⅜ rule.Simpson’s ⅜ rule is used for doing numerical integrations. The most common use case of this method is in performing numerical approximations of definite integrals.In this, the parabolas on the graph are used for performing the approximations.Example#include using namespace std; //function that is to be integrated float func_inte( float x){    return (1 / ( 1 + x * x )); } //calculating the approximations float func_calculate(float lower_limit, float upper_limit, int interval_limit ){    float value;    float interval_size = (upper_limit - lower_limit) / interval_limit;    float ... Read More

In this tutorial, we will be discussing a program to implement Linear Extrapolation.Extrapolation is defined as a process in which the required value for a certain function is beyond the lower or the upper limits of the function definition.In the case of Linear Extrapolation, the value beyond the scope is found using the tangent made on the graph of the function to determine the required value. Linear Extrapolation gives quite accurate results when applied.Example#include using namespace std; //structuring the values of x and y struct Data {    double x, y; }; //calculating the linear extrapolation double calc_extrapolate(Data d[], ... Read More

In this tutorial, we will be discussing a program to implement Inverse Interpolation using Lagrange formula.Inverse Interpolation is defined as the method of finding the value of an independent variable from the given value of dependent value lying between two tabulated set of values for an unknown function.Example#include using namespace std; //structuring the values of x and y struct Data {    double x, y; }; //calculating inverse interpolation double calc_invinter(Data d[], int n, double y){    double x = 0;    int i, j;    for (i = 0; i < n; i++) {       double ... Read More

In this tutorial, we will be discussing a program to implement ASCII lookup table.ASCII lookup table is a tabular representation that provides with the octal, hexadecimal, decimal and HTML values of a given character.The character for the ASCII lookup table includes alphabets, digits, separators and special symbols.Example#include #include using namespace std; //converting decimal value to octal int Octal(int decimal){    int octal = 0;    string temp = "";    while (decimal > 0) {       int remainder = decimal % 8;       temp = to_string(remainder) + temp;       decimal /= 8; ... Read More

In this tutorial, we will be discussing a program to implement Collatz Conjecture.For this, we will be given with a number n and we have to find out whether it can be converted to 1 using two operations −If n is even, n is converted to n/2.If n is odd, n is converted to 3*n + 1.Example#include using namespace std; //checking if n reaches to 1 or not bool check1(int n, unordered_set &s){    if (n == 1)       return true;    if (s.find(n) != s.end())       return false;    return (n % 2)? check1(3*n + ... Read More

In this tutorial, we will be discussing a program to get the sum of series 1 – x^2/2! + x^4/4! … upto nth term.For this we will be given with the values of x and n. Our task will be to calculate the sum of the given series upto the given n terms. This can be easily done by computing the factorial and using the standard power function to calculate powers.Example#include #include //calculating the sum of series double calc_sum(double x, int n){    double sum = 1, term = 1, fct, j, y = 2, m;    int ... Read More

In this tutorial, we will be discussing a program to generate random alphabets.For this, we will have a fixed size of array/string and use the rand() function to generate a random string of alphabets.Example#include using namespace std; const int MAX = 26; //generating a string of random alphabets string gen_random(int n){    char alphabet[MAX] = {       'a', 'b', 'c', 'd', 'e', 'f', 'g',       'h', 'i', 'j', 'k', 'l', 'm', 'n',       'o', 'p', 'q', 'r', 's', 't', 'u',       'v', 'w', 'x', 'y', 'z'    };    string res ... Read More