Given a list, the task is to find the average of each n-length consecutive segment where each segment contains n elements. Example:
Input : [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 16, 17, 18, 19, 20]
Output: [3, 4, 5, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 16, 17, 18]
Explanation:
Segment 1 - [1, 2, 3, 4, 5] => 15/5 = 3
Segment 2 - [2, 3, 4, 5, 6] => 20/5 = 4
Segment 3 - [3, 4, 5, 6, 7] => 25/5 = 5
and so on.....
Method #1: Using list comprehension
Python3
# Python code to find average of each consecutive segment# List initialisationInput = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]# Defining Splitssplits = 5# Finding average of each consecutive segmentOutput = [sum(Input[i:i + splits])/splits for i in range(len(Input) - splits + 1)]# printing outputprint(Output) |
[3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0]
Time Complexity: O(n), where n is the length of the list
Auxiliary Space: O(n) additional space of size n is created where n is the number of elements in the list
Method #2: Using mean function
Python3
# Python code to find average of each consecutive segment# Importingfrom statistics import meanfrom itertools import islice# List initialisationInput = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]# Finding average of each consecutive segmentzip_list = zip(*(islice(Input, i, None) for i in range(5)))Output = list(map(mean, zip_list))# printing outputprint(Output) |
[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
Method 3: using for loop
the for loop iterates over the range of len(Input) – splits + 1 to obtain each consecutive segment. It then calculates the average of the current segment and appends it to the Output list. Finally, it prints the Output list.
Step-by-step approach:
Initialize the Input list with the given values.
Set the splits variable to the desired length of each consecutive segment.
Create an empty list called Output.
Iterate over the range of len(Input) – splits + 1. This generates the starting indices of each consecutive segment in Input.
For each starting index i, obtain the corresponding segment of length splits from Input using slicing.
Calculate the average of the current segment using the sum() function and dividing by splits.
Append the current average to the Output list.
Once all segments have been processed, print the Output list.
Python3
# Python code to find average of each consecutive segment# List initializationInput = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]# Defining Splitssplits = 5# Finding average of each consecutive segment using for loopOutput = []for i in range(len(Input) - splits + 1): segment = Input[i:i+splits] average = sum(segment) / splits Output.append(average)# Printing outputprint(Output) |
[3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0]
Time complexity: O(n) where n is the length of the input list Input, since we are iterating over each element of the list once.
Auxiliary space: O(k), where k is the number of segments in the output. This is because we are storing the average of each segment in the Output list.
