Question

Use the Python programming language for this question

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. 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 the main function that tests the three statistical functions with a given list.

Answer 1

#definition of "median" function

def median(list):

#checking median condition to make sure the list returns zero if empty

if len(list) == 0:

return 0

#sort the list

list.sort()

#find middle element

mid = len(list) / 2

#check the condition

if len(list) % 2 == 1:

return list[mid]

else:

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

#definition of "mean" function

def mean(list):

#checking mean condition to make sure the list returns zero if empty

if len(list) == 0:

return 0

#sort the list

list.sort()

#set the value

total = 0

#initiate a for loop

for num in list:

#then we calculate the total

total += num

#return the value

return total/ len(list)

#definition of "mode" function

def mode(list):

#checking mode condition to make sure the list returns zero if empty

if len(list) == 0:

return 0

#declare the variable

num_Dictionary = {}

#check the condition

for digit in list:

num = num_Dictionary.get(digit, None)

if num == None:

num_Dictionary[digit] = 1

else:

num_Dictionary[digit] = num + 1

#getting the maximum value

max_Value = max(num_Dictionary.values())

mode_List = []

for k in num_Dictionary:

if num_Dictionary[k] == max_Value:

mode_List.append(k)

return mode_List

#definition of main function

def main():

#set the list

num_list = [7, 4, 8, 10, 9]

#call the "mean" function with a parameter

print ("Mean of the given list: ", mean(num_list))

#call the "mode" function with a parameter

print ("Mode of the given list:", mode(num_list))

#call the "median" function with a parameter

print ("Median of the given list:", median(num_list))

Step-by-step explanation:

Python 3 was used for the above code.

Each function in the above code is defined starting with the keyword def, the name of the function (mean, median, mode, main) and a pair of parentheses containing the parameter.

The various defined functions in the module are saved as stats.py in the text editor.