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@jbwhit
Created April 30, 2013 06:27
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Weighted mean and plotted.
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{
"metadata": {
"name": "2013-04-30-Weighted-Mean"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import pylab as pl"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"wavelength = np.linspace(5300, 5400, num=50)\n",
"flux = np.random.normal(1.0, 0.02, len(wavelength))\n",
"err = np.ones_like(wavelength) * 1.1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"weights = 1 / err ** 2"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pl.plot(wavelength, flux)\n",
"pl.plot(wavelength, np.ones_like(wavelength) * np.average(flux, weights=weights), color='green')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 31,
"text": [
"[<matplotlib.lines.Line2D at 0x108ac2890>]"
]
},
{
"output_type": "display_data",
"png": 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VIwCU8wRCdEwUS4YNszeKDSkhKC2ljjQmxlohaG2lvVv79QMGDgSeeIIy+zfcQF9/+aXy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\nwzBMhMNCwDAME+GwEDAMw0Q4/x9exQMXFBSYwQAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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