swift

findMedianNumbersRange()

Parameters: arr: [Int], start: Int, end: Int

Array of integers, start and end of range

Returns: Median of the range within array as an integer

The findMedianNumbersRange is a Swift function designed to find the median value in a list of numbers within a specified range.

Variables
Conditionals
Loops
Arrays
Sorting Algorithms
Medium dificulty

Swift Programming: Crafting the find-median-numbers-range function

Hello there, fellow programmer! This blog post will guide you step-by-step on how to create a function named 'find-median-numbers-range' in Swift. This function is aimed at determining the median value within a given range of numbers. The procedure has been simplified to enhance your coding experience and solidify your Swift programming skills. Enjoy your coding journey!

Step 1: Function Signature

Start by defining the signature of our function in Swift. Name the function findMedianNumbersRange and it takes two arguments, both are arrays of integers ([Int]). The function returns a Double type value which will be the median of the numbers in the range defined by these two arrays.


func findMedianNumbersRange(_ array1: [Int], _ array2: [Int]) -> Double {

}

Step 2: Combine and Sort the Arrays

Inside findMedianNumbersRange, we first need to concatenate array1 and array2 to form a single array. Then we will sort the combined array in ascending order.


func findMedianNumbersRange(_ array1: [Int], _ array2: [Int]) -> Double {
    let combinedArray = array1 + array2
    let sortedArray = combinedArray.sorted()
}

Step 3: Calculate the Median

Next, we must calculate the median of the numbers in sortedArray. This depends on whether sortedArray has an even or odd number of elements. If the count of elements is odd, the median is the middle element. If it is even, the median is the average of the two middle elements.


func findMedianNumbersRange(_ array1: [Int], _ array2: [Int]) -> Double {
    let combinedArray = array1 + array2
    let sortedArray = combinedArray.sorted()
    let count = sortedArray.count

    if count % 2 == 0 {
        return Double(sortedArray[count/2 - 1] + sortedArray[count/2]) / 2.0
    } else {
        return Double(sortedArray[count/2])
    }
}

Conclusion

The function findMedianNumbersRange will take in two arrays of integers, combine them, sort the resulting array, and calculate the median of the numbers in the sorted array. This returned median will be of type Double.

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Median of a Range in Array

Determines the median number within a range of an array

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Mathematical principle

To calculate the median of a list of numbers, we first sort the list in ascending order. The median is the middle value if the list length is odd. If the list length is even, it's the average of the two middle numbers. In this function, we only consider numbers within a specified range. The concept of median is an important mathematical statistical measure that provides the 'middle' value of a list of numbers.

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