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Programming Problems · Q4

Q.Write a program to read a list of n integers and find their median.
Note: The median value of a list of values is the middle one when they are arranged in order. If there are two middle values then take their average.
Hint: Use an inbuilt function to sort the list.

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Sort the list (the hint says use the inbuilt sort()), then: odd count → the middle

element lst[n//2]; even count → the average of the two middle elements

(lst[n//2 - 1] + lst[n//2]) / 2.

The idea

The median is a positional measure — it only makes sense on ordered data, which is why the

first real step is sorting. With n elements (0-indexed):

nMiddle position(s)Median
odd (e.g. 5)index n//2 = 2that single element
even (e.g. 6)indices n//2 - 1 and n//2 = 2 and 3average of the two

Program

# Median of a list of n integers
n = int(input("How many integers? "))
lst = []
for i in range(n):
    lst.append(int(input("Enter integer " + str(i + 1) + ": ")))

lst.sort()                     # inbuilt sort, ascending (as the hint suggests)
mid = n // 2

if n % 2 == 1:                 # odd count -> single middle element
    median = lst[mid]
else:                          # even count -> average of the two middle ones
    median = (lst[mid - 1] + lst[mid]) / 2

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

Sample runs

Odd count:

How many integers? 5
Enter integer 1: 7
Enter integer 2: 1
Enter integer 3: 9
Enter integer 4: 3
Enter integer 5: 5
Sorted list: [1, 3, 5, 7, 9]
Median     : 5

Even count:

How many integers? 4
Enter integer 1: 8
Enter integer 2: 2 …

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