How to mathematically note down "sum of all elements / numbers of elements"

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I have 1-n elements and I sum them up (I1+I2+I3...In)/N. Also for 5,5,8 the result is 6. I am not sure about the mathematical notation of the formula.

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It sounds like you just want notation for the average (the arithmetic mean, to be precise)?

$$\frac{1}{N} \sum_{k=1}^N I_k$$