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. Ask users to enter the list of numbers, and then choose which function to apply to those numbers. After the single number is returned from the correct function, display to the user the list of numbers, the function selected and the answer in a format that is easy to understand.

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()