undefined error when passing list as parameter in python

So I previously had my code set-up to access a list that was declared outside functions making it a global variable, for the task I was assigned the lecturer is insisting that we do not use global variables. So now I have the following code which obviously gives a "data_set undefined error"

The idea being that I create a list from a csv file and then pass that list to several other functions so that I can get elements from the data_set list and create new outputs.

import csv
import sys

def print_menu():
    print("ACME WEATHER DATA APP")
    print("1) Choose weather data file")
    print("2) See data for selected day")
    print("3) Calculate average statistics for the data")
    print("4) Print a scatterplot of the average temperatures")
    print("0) Quit program")

def loadFile(x):
    data_set = []
    data_set.clear()
    with open(x, "r") as readfile:
        csv_reader = csv.reader(readfile, delimiter= ';')
        for row in csv_reader:
            data_set.append(row)
    print("Loaded weather data from", (x[0:-4]).capitalize())
    print()
    return data_set    

def avgDay(x, data_set):
    for line in data_set:
        if(len(x) == 5 and (x[3:5] + "-" + x[0:2]) in line[0]):
           print("The weather on", x, "was on average", line[2], "centigrade")


def lowHigh(x, data_set):
    for line in data_set:
        if(len(x) == 5 and (x[3:5] + "-" + x[0:2]) in line[0]):
            print("The lowest temperature was", line[3], "and the highest temperature was", line[4])


def rain(x, data_set):
    for line in data_set:
        if(len(x) == 5 and (x[3:5] + "-" + x[0:2]) in line[0]):
            print("There was", line[1],"mm rain")
            print()

def avgMonth(data_set):
    avgList= []
    for line in data[1:]:
        avgList.append(line[2])
    avgList= [float(i) for i in avgList]
    avg = sum(avgList)/len(avgList)
    print("The average temperature for the 25 day period was", round(avg,1))


def avgLow(data_set):
    avgList= []
    for line in data[1:]:
        avgList.append(line[3]) 
    avgList= [float(i) for i in avgList]
    avg = sum(avgList)/len(avgList)
    print("The average lowest temperature was", round(avg,1))


def avgHigh(data_set):
    avgList= []
    for line in data[1:]:
        avgList.append(line[4])  
    avgList= [float(i) for i in avgList]
    avg = sum(avgList)/len(avgList)

    print("The average highest temperature was", round(avg,1))
    print()

def print_tempLine(day, month, temp):
    print(day + "." + month + " ", end="")
    print("   "*(temp+5) + "-", end="")
    print()


def print_tempAxis():
    print("      ", end="")
    for i in range(-5,16):
        print("{:02d} ".format(i), end="")
    print()

def scatPlot(data_set):
    for line in data[1:]:
            day_month=line[0].split("-")
            temp=int(round(float(line[2]),0))
            print_tempLine(day_month[2],day_month[1],temp)
            print_tempAxis()
            print()

def menu_number():
    number = int(input("Choose what to do: "))
    if (number) == 1:
        x = input("Give name of the file: " )
        loadFile(x)
        print_menu()
        menu_number()

    elif (number) == 2:
        x = input("Give a date (dd.mm): ")
        avgDay(x, data_set)
        lowHigh(x, data_set)
        rain(x, data_set)
        print_menu()
        menu_number()

    elif (number) == 3:
        avgMonth(data_set)
        avgLow(data_set)
        avgHigh(data_set)
        print_menu()
        menu_number()

    elif (number) == 4:
        scatPlot(data_set)
        print_menu()
        menu_number()

    elif (number) == 0:
        sys.exit()

    else:
        print("\n Your selection is invalid, please try again!\n")
        print_menu()
        menu_number()

print_menu()
menu_number()

I understand that when I return data_set in my loadFile(x) that it needs to be assigned to a variable somehow so that it can be accessed outside the local scope, I just am not sure how that is done. I have tried changing loadFile(x) to data_set = loadFile(x) within menu_number function, this just resulted in it giving the following error "local variable 'data_set' referenced before assignment". So is there something I have missed or do I need to re-write the code somehow?

Edit: Sorry did not realize I needed to provide full stack trace error

Traceback (most recent call last):
  File "C:\Users\alexa\Documents\XAMK\python scripts\test.py", line 126, in <module>
    menu_number()
  File "C:\Users\alexa\Documents\XAMK\python scripts\test.py", line 95, in menu_number
    menu_number()
  File "C:\Users\alexa\Documents\XAMK\python scripts\test.py", line 99, in menu_number
    avgDay(x, data_set)
NameError: name 'data_set' is not defined

Edit 2: csv sample code

"DateTime";"Precipitation";"Mean temperature";"Minimum temperature";"Maximum temperature";"Typical maximum temperature";"Typical maximum temperature";"Typical minimum temperature";"Typical minimum temperature";"Fairly typical maximum temperature";"Fairly typical maximum temperature";"Fairly typical minimum temperature";"Fairly typical minimum temperature"
"2019-10-06";0;4;0.4;6.8;10.3;11.9;4.5;7.2;7.6;13.8;0.9;9.8
"2019-10-07";0.1;4.4;2.6;7.8;10.1;11.8;4.4;7;7.4;13.6;0.8;9.7
"2019-10-08";0;4.9;2.3;7.2;10;11.6;4.2;6.9;7.2;13.4;0.6;9.5
"2019-10-09";1.1;4.8;1.8;7.6;9.8;11.4;4.1;6.7;6.9;13.3;0.5;9.4