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Assignment This Homework Assignment is designed to develop your ability create functions that operate on numeric list by perform simple mathematical (statistical) operations. We will use the concepts of Descriptive Statistics as the theme for this assignment. Python provides some built- - in statistical functions such as sum, max, min, etc. you may not utilize these built-in functions in your code create your own version of these functions as needed. Create a single Python script [yourLastName]HW3 and solve each of the specified problems. Objectives Define functions that encapsulate statistical concepts. Task # Description Operation o Create a Numeric List of Values from a File List Creation Determine the maximum value in a numeric list Determine the minimum value in a numeric list List Range 1 Determine the range of a numeric list Values Determine the midrange of a numeric list Determine the percentile of a numeric list Calculate the sum of the values in a numeric list Calculate the product of the values in a numeric list Calculate the mean value of a numeric list List 2 Calculate the variance of a numeric list Descriptive Values Calculate the standard deviation of a numeric list Calculate the median of a numeric list Calculate the mode of a numeric list Task O: File to List Task Description Create a function named createNumberListFromFile which accepts a file path as its only O parameter and returns a numeric (float) list 2 3 def createNumberListFromFile(FP) : 4 data = [] 5 with open(FP, 'r') as f: 6 for i in f: We will use files in which 7 n = i.split() the numbers are separated by a single space 8 for j in n: 9 a = float(j) 10 data.append(a) 11 return data 12 Task 1 (List Range Values) Subtask Description A Create a function named maxList which accepts a numeric list as its only parameter and returns the maximum value in the list Create a function named minList which accepts a numeric list as its only parameter and returns B the minimum value in the list Create a function named rangeList which accepts a numeric list as its only parameter and C returns the difference between the largest value in the list and the smallest value in the list Create a function named midrangeList which accepts a numeric list as its only parameter and D returns the half the range value in the list Create a function named percentileList which accepts a numeric list and a value (percentile) as E its parameters and returns the value in the list that corresponds to the specified percentile Task 2 (List Descriptive Values) Subtask Description A Create a function named sumList which accepts a numeric list as its only parameter and returns the sum of all the values in the list Create a function named productList which accepts a numeric list as its only parameter and B returns the product of all the values in the list Create a function named meanList which accepts a numeric list as its only parameter and C returns the average of all the values in the list Create a function named varianceList which accepts a numeric list as its only parameter and D returns the between all the values in the list Create a function named standardDeviationList which accepts a numeric list as its only E parameter and returns the standard deviation of all the values in the list Create a function named medianList which accepts a numeric list as its only parameter and F returns the median value of the values in the list Create a function named modeList which accepts a numeric list as its only parameter and G returns the value of the mode of the list Objectives Define functions that statistically analyze numeric data files. Task # Description Operation 3 Write a numeric list to a File File Creation Calculate the Frequency of a value in a numeric file Calculate Relative Frequency of a value in a numeric file Frequency 4 Analysis Calculate Cumulative Relative Frequency of a value in a numeric file Create a list of Outlier Values in a numeric File Outlier Analysis 5 Remove Outliers Values from a numeric File Distribution 6 Determine the shape of the Distribution of values in a numeric file Analysis Task O: List to File Task Description Create a function named createNumericFileFromLis which accepts a file path and a list as 3 parameters and creates a file of space-separated values from the values in the specified list 13 def createNumericFileFromList (FP, L) : 14 with open(FP, 'w') as f: 15 for i in L: 16 f.write (str (i) + 17 Our files will contain a space between each value vTask 4: Frequency Analysis Subtask Description Create a function named frequencyList which accepts a file path and a value as parameters and A returns the frequency of that value in the numeric file Create a function named relativeFreqList which accepts a file path and a value as parameters B and returns the relative frequency of that value in the numeric file C Create a function named cumRelativeFreqList which accepts a file path and a value as parameters and returns the cumulative relative frequency of that value in the numeric file Understanding Frequency Utilize the sort() method on the Frequency The number of times a value occurs in a list list to simplify the frequency analysis Relative The frequency of a value in a list divided by the Frequency total number of values in the list The relative frequency for a value in a list plus Cumulative the cumulative relative frequency of the Relative previous value in the list.. the last cumulative Frequency relative frequency for the last value is always 1 Task 5: Outlier Analysis Subtask Description A Create a function named OutlierList which accepts a file path as its only parameters and returns a list of all the outlier values of the values in the numeric file Create a function named removeOutliers which accepts two file paths as its parameters (input B file, output file) and creates a new file (output file) with all the outlier values of the values in the numeric file removed Understanding Outliers A value in a list is considered an outlier value if it is greater than the lower outlier limit and less than the upper outlier limit (inclusive) Lower Outlier Limit = 25th percentile of the list - 1.5 X interquartile range of the list Upper Outlier Limit = 75th percentile of the list - 1.5 X interquartile range of the list Interquartile Range = 75th th percentile of the list - 25th percentile of the list Task 6: Distribution Analysis Task Description Create a function distribution Shape which accepts a file path as its only parameter and 3 determines the shape of the distribution of values in the numeric file based on the following rules: Value Shape Mean > Median 'Right Skewed' Mean < Median ┬╣Left Skewed' Mean = Median `Symmetrical'

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# Task 0: File to List

# function named createNumberListFromFile which accepts a file path as its only
# parameter and returns a numeric (float) list

def createNumberListFromFile(path):
    data = []
    with open(path) as file: # read the file
       for i in file: # iterations over all lines of file
            n = i.split() # split the line so we get numbers
            for j in n: # iteration over numbers
                a = float(j) # convert to float
                data.append(a)
    return data



# Task 1 (List Range Values)

# functions maxList, minList, rangeList and mideRangeList are
# quite streightforward to define, only basic python functions such as max, min and sorted are used

def maxList(L):
    L_max = max(L)
    return L_max

def minList(L):
    L_min = min...

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