A group of statisticians at a local college has asked you to create a set of functions that compute the median and mode of a set of numbers, as defined in Section 5.4. Define these functions in a module named stats. py. Also include a function named mean, which computes the average of a set of numbers. Each function should expect a list of numbers as an argument and return a single number. Each function should return 0 if the list is empty. Include a main function that tests the three statistical functions with a given list.

see explaination

Explanation:

#Function receive list as a parameter & returns single value

def median(list):

#Checking for empty list

if len(list) == 0:

return 0

list.sort() #Arranging list of elements

midIndex = int(len(list) / 2) #Determining middle element

if len(list) % 2 == 1:

#return median when number of elements in list is odd

return list[midIndex]

else:

#return median when number of elements in list is even

return (list[midIndex] + list[midIndex - 1]) / 2

#This function will calculate the mean of given list of numbers

#Function receive list as a parameter & returns single value

def mean(list):

#Checking for empty list

if len(list) == 0:

return 0

total = 0

for number in list:

total += number

return total / len(list) #returns calculated mean

#This function will calculate the mode of given list of numbers

#Function receive list as a parameter & returns single value

def mode(list):

if len(list) == 0:

return 0

numberDictionary = {} #Creating dictionary

for digit in list:

number = numberDictionary.get(digit, None)

if number == None:

numberDictionary[digit] = 1

else:

numberDictionary[digit] = number + 1

#Getting the maximum value from list

maxValue = max(numberDictionary.values())

modeList = []

for key in numberDictionary:

#Determing elements which has the maximum value

if numberDictionary[key] == maxValue:

modeList.append(key) #adding elements into list whose value is maximum

return modeList #returns mode list

def main():

#Creating list

list = [3, 1, 7, 1, 4, 4, 10]

print("List:", list) #Printing list of elements

#Printing mode of given list by calling function & passed list as a parameter

print ("Mode: ", mode(list))

#Printing median of given list by calling function & passed list as a parameter

print ("Median :", median(list))

#Printing mean of given list by calling function & passed list as a parameter

print ("Mean: ", mean(list))

main()

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