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September 14, 2018 09:31
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Arithmetic Mean\n", | |
"The **arithemetic mean** is is the sum of a *collection* of numbers divided by the count of numbers in the collection.\n", | |
"\n", | |
"Let's say we have the collection {3,1,4,1,5}" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"collection←3 1 4 1 5 6" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"To find the mean, we first find the sum." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"sum←+⌿collection" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Then the count." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"count←≢collection" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Now divide sum by count." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"mean←sum÷count" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"And that's the mean" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<span style=\"white-space:pre; font-family: monospace\">26\n", | |
"</span>" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"mean" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Dyalog APL", | |
"language": "apl", | |
"name": "dyalog-kernel" | |
}, | |
"language_info": { | |
"file_extension": ".apl", | |
"mimetype": "text/apl", | |
"name": "APL" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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