find the mean and standard deviation of up to 100 numbers. Suppose that the mean (average) of n numbers x,, x, ..., x, is x. Then the standard deviation of these numbers is: (x - x)² + (x2 – x)² + + (x; – x)² +… +(x„ – x)² ... | s =
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- In this chapter, the rules given for calculating the factorial of a number are as follows:If n = 0 then factorial(n) = 1If n . 0 then factorial(n) = n × factorial(n – 1)If you were designing a function from these rules, what would the base case be? What wouldthe recursive case be?Write a recursive function named sumSquares that returns the sum of the squares of the numbers from 0 to num, in which num is a nonnegative int variable. Do not use global variables; use the appropriate parameters. Also write a program to test your function.Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, then the pattern generated is:********************Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the above pattern.
- Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, the pattern generated is as follows: **** *** ** * * ** *** **** Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the preceding pattern.Convert the following function into a recursive functionPlease explanation this recursive function Each and every statement
- Calling a function with multiple arguments requires careful order.Write a recursive function body to find the nth term of Fibonacci Series. [Write only recursive function body . No need of main ( ) code ] int fib(int x) {….. …… }Prompt: When someone calls you on the phone, he or she looks up your number in a phone book (a function from names to phone numbers). When Caller ID shows who is calling, it has performed the inverse function, finding the name corresponding to the number. Explain why this situation represents an application of inverse of a function in familiar situations.
- We rite a recursive function that calculates the products of natural numbers (1 through n) as follows: - asks the user to enter a positive number n - calculates and prints out the product of 1 through n (for example for n=5 the product is 120) Uploads: .c code and the outputProgramming Exercise 10 in Chapter 6 asks you find the mean and standard deviation of five numbers. Extend this programming exercise to find the mean and standard deviation of up to 100 numbers. Suppose that the mean (average) of n numbers x1, x2, . . ., xn is x. Then the standard deviation of these numbers is:S=sqrt(((x1-x)^2+(x2-x)^2+...+(xi-x)^2+...+(xn-x)^2)/n)Please can be handwritten. Question 2: Implementing a Recursive Function . Write recursive function, recursionprob(n), which takes a positive number as its argument and returns the output as shown below. The solution should clearly write the steps as shown in an example in slide number 59 and slide number 60 in lecture slides. After writing the steps, trace the function for “recursiveprob(5)” as shown in an example slide number 61. Function Output: >> recursionprob(1) 1 >> recursionprob(2) 1 4 >> recursionprob(3) 1 4 9 >>recrusionprob(4) 1 4 9 16