The Grocer And His Friuts - Average Of Averages

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{6}A_{63} Base Sequence = 12735 String Sequence = 12735 - 6 - 63 **

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The Grocer And His Fruits - Average Of Averages

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Suppose a grocer sells 2 apples for 5 cents and 3 oranges for 5 cents. He surmises that the simple arithmetic of selling 5 fruits for 10 cents results in the same average price. In other words, according to him, a sale of 2 apples and 3 oranges have the same average price as a sale of any 5 pieces of fruits for 10 cents.

Is the grocer right? What is the correct average price ?

**The string**:

S_{7}P_{6}A_{63} (Multi-Criteria Combination).
**The math**:

Pj Problem of Interest is of type *grouping*. Average values result from the summation of a set of values and the division of the total sum by the number of elements in the set. In essence, an average value is a representative of a group. So, problems of average values are *grouping problems*.

The grocer is not correct. The apropriate average price should be:

Average of the averages of the two price scenarios.

So, correct average price = (5/2 + 5/3)/2 = 25/12 cents.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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