Download to read offline
![Python Code
Calculating the Mean in Python:
sample = [1, 2, 3, 4, 5]
mean = sum(sample) / len(sample)
print(mean) # prints 3.0
Calculating the Weighted Mean in Python:
sample = [1, 2, 3, 4, 5]
weights = [0.2, 0.2, 0.2, 0.2, 0.2]
weighted_mean = sum(s * w for s, w in zip(sample ,
weights)) / sum(weights)
print(weighted_mean) # prints 3.0
Copyright © 2024. All rights Reserved.](https://image.slidesharecdn.com/meanandweightedmean-241115135715-2c49d1f5/75/Difference-between-Mean-and-Weighted-Mean-5-2048.jpg)
Difference between Mean and Weighted Mean
The document defines the mean as the average of a set of values, illustrating the calculation with a formula and a sample example. It further explains the weighted mean, which assigns weights to values, and emphasizes that when weights are equal, the weighted mean equals the mean. Additionally, the document provides Python code for calculating both the mean and weighted mean.
More Related Content
Similar to Difference between Mean and Weighted Mean
More from Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt
Difference between Mean and Weighted Mean
- 1. Mean and WeightedMean Copyright © 2024. All rights Reserved.
- 2. Definition of Mean Meanis the average of a set of values. The operation is simple: ▶ Sum the values. ▶ Divide by the number of values. Formula: Sample mean = x̄ = x1 + x2 + x3 + . . . + xn n = n X i=1 xi n The mean shows where the ”center of gravity” lies for an observed set of values. Copyright © 2024. All rights Reserved.
- 3. Weighted Mean The meanis a specific case of the weighted mean, where all weights are equal. Formula: Weighted mean = (x1 · w1) + (x2 · w2) + . . . + (xn · wn) w1 + w2 + . . . + wn Copyright © 2024. All rights Reserved.
- 4. Example Calculation Calculate themean using the weighted mean formula with equal weights of 0.2 for the sample values {1, 2, 3, 4, 5}: Weighted mean = (1 · 0.2) + (2 · 0.2) + (3 · 0.2) + (4 · 0.2) + (5 · 0.2) 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 0.2 · (1 + 2 + 3 + 4 + 5) 0.2 · (1 + 1 + 1 + 1 + 1) = 3.0 Equal weights always result in the mean, as shown here. Copyright © 2024. All rights Reserved.
- 5. Python Code Calculating theMean in Python: sample = [1, 2, 3, 4, 5] mean = sum(sample) / len(sample) print(mean) # prints 3.0 Calculating the Weighted Mean in Python: sample = [1, 2, 3, 4, 5] weights = [0.2, 0.2, 0.2, 0.2, 0.2] weighted_mean = sum(s * w for s, w in zip(sample , weights)) / sum(weights) print(weighted_mean) # prints 3.0 Copyright © 2024. All rights Reserved.
- 6. Summary ▶ The meanis a simple average. ▶ The weighted mean generalizes the mean by assigning weights to values. ▶ When weights are equal, the weighted mean equals the mean. ▶ Python provides straightforward ways to compute both. Copyright © 2024. All rights Reserved.