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Lernen Understanding Distribution Shapes | Univariate Analysis
Exploratory Data Analysis with Python

bookUnderstanding Distribution Shapes

Understanding how data is distributed is essential for making informed decisions in retail analytics. The distribution shape of a variable reveals patterns, anomalies, and potential business insights.

In retail data, you often encounter several common distribution shapes:

  • Normal distribution:

    • Symmetric and bell-shaped;
    • Describes many natural phenomena, such as daily sales amounts for a popular product.
  • Skewed distribution:

    • Has a longer tail on one side;
    • Right (positive) skew: most purchases are small, but a few are very large (common in transaction amounts);
    • Left (negative) skew: most values are high, but some are much lower (can be found in returns or discounts).
  • Bimodal distribution:

    • Features two distinct peaks;
    • May indicate two separate customer groups or product categories with different behaviors.

Recognizing these patterns helps you understand the underlying retail processes and customer segments.

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import numpy as np import matplotlib.pyplot as plt import seaborn as sns # Simulate a synthetic retail feature: purchase amount for two customer segments np.random.seed(42) segment_a = np.random.normal(loc=20, scale=3, size=500) # Bargain shoppers segment_b = np.random.normal(loc=60, scale=5, size=500) # Premium shoppers purchase_amounts = np.concatenate([segment_a, segment_b]) plt.figure(figsize=(8, 5)) sns.histplot(purchase_amounts, bins=30, kde=True, color="skyblue") plt.title("Bimodal Distribution of Purchase Amounts") plt.xlabel("Purchase Amount ($)") plt.ylabel("Frequency") plt.show()
copy

Distribution shapes directly affect your retail business decisions:

  • Bimodal distribution:
    • Indicates two distinct customer segments;
    • Guides you to stock products for both bargain and premium shoppers, not just one price range.
  • Right-skewed distribution:
    • Most items sell in low quantities, but a few are best-sellers;
    • Helps you prioritize inventory for top sellers and manage slow movers to avoid overstock.
  • Normal distribution:
    • Daily demand is predictable and centered around an average;
    • Supports accurate forecasting and helps maintain optimal stock levels, reducing shortages and excess.

By understanding these distribution patterns, you can:

  • Tailor promotions to specific customer segments;
  • Refine pricing strategies for different products;
  • Align inventory and supply with actual demand.
question mark

Which distribution shape is most likely represented by retail data showing two distinct peaks in purchase amounts, corresponding to bargain and premium shoppers?

Select the correct answer

War alles klar?

Wie können wir es verbessern?

Danke für Ihr Feedback!

Abschnitt 2. Kapitel 3

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bookUnderstanding Distribution Shapes

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Understanding how data is distributed is essential for making informed decisions in retail analytics. The distribution shape of a variable reveals patterns, anomalies, and potential business insights.

In retail data, you often encounter several common distribution shapes:

  • Normal distribution:

    • Symmetric and bell-shaped;
    • Describes many natural phenomena, such as daily sales amounts for a popular product.
  • Skewed distribution:

    • Has a longer tail on one side;
    • Right (positive) skew: most purchases are small, but a few are very large (common in transaction amounts);
    • Left (negative) skew: most values are high, but some are much lower (can be found in returns or discounts).
  • Bimodal distribution:

    • Features two distinct peaks;
    • May indicate two separate customer groups or product categories with different behaviors.

Recognizing these patterns helps you understand the underlying retail processes and customer segments.

12345678910111213141516
import numpy as np import matplotlib.pyplot as plt import seaborn as sns # Simulate a synthetic retail feature: purchase amount for two customer segments np.random.seed(42) segment_a = np.random.normal(loc=20, scale=3, size=500) # Bargain shoppers segment_b = np.random.normal(loc=60, scale=5, size=500) # Premium shoppers purchase_amounts = np.concatenate([segment_a, segment_b]) plt.figure(figsize=(8, 5)) sns.histplot(purchase_amounts, bins=30, kde=True, color="skyblue") plt.title("Bimodal Distribution of Purchase Amounts") plt.xlabel("Purchase Amount ($)") plt.ylabel("Frequency") plt.show()
copy

Distribution shapes directly affect your retail business decisions:

  • Bimodal distribution:
    • Indicates two distinct customer segments;
    • Guides you to stock products for both bargain and premium shoppers, not just one price range.
  • Right-skewed distribution:
    • Most items sell in low quantities, but a few are best-sellers;
    • Helps you prioritize inventory for top sellers and manage slow movers to avoid overstock.
  • Normal distribution:
    • Daily demand is predictable and centered around an average;
    • Supports accurate forecasting and helps maintain optimal stock levels, reducing shortages and excess.

By understanding these distribution patterns, you can:

  • Tailor promotions to specific customer segments;
  • Refine pricing strategies for different products;
  • Align inventory and supply with actual demand.
question mark

Which distribution shape is most likely represented by retail data showing two distinct peaks in purchase amounts, corresponding to bargain and premium shoppers?

Select the correct answer

War alles klar?

Wie können wir es verbessern?

Danke für Ihr Feedback!

Abschnitt 2. Kapitel 3
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