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Sales Pulse: Why the Average Basket Value of the total baskets including at least 1 of the selected brands is lower than the Average Basket Value of baskets including each of these brands?

Our current method of calculating Average Basket Value is:

So you might be wondering, why is that the Average Basket Value of the total baskets including at least 1 of the selected brands is lower than the Average Basket Value of baskets including each of these brands?

In order to better understand this paradox let's take the below example:

Basket id

Purchased brand

Basket value

1

ABC, XYZ

€100

2

ABC

€50

3

ABC

€40

4

XYZ

€20

So per brand, we'd have:

Brands

Baskets

Average basket value

ABC

3

€63.3

XYZ

2

€60

Total

4

€52.5