Difference between revisions of "Statistical formulas documentation"

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| Unweighted Sample Total Count || 10,811
 
| Unweighted Sample Total Count || 10,811
 
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{|  
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{|
 
{|
 
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| (1) || width="550"|<span style="color:red">'''Calculated Accumulated Weighted Response'''</span>
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| <span style="color:red">(1)</span> || width="550"|<span style="color:red">'''Calculated Accumulated Weighted Response'''</span>
 
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| (2) || Divide total (1,039,746) by 2=519,873 || 519,873
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| <span style="color:red">(2)</span> || Divide total (<span style="color:blue">1,039,746</span>) by 2=<span style="color:red">519,873</span> || <span style="color:red">519,873</span>
 
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| (3) || Find first value in Accumulated Response column that is greater than step 2 value  
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| <span style="color:red">(3)</span> || Find first value in Accumulated Response column that is greater than step 2 value  
 
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| || The ''median will fall between the $60,000-$74,999'' bracket  
 
| || The ''median will fall between the $60,000-$74,999'' bracket  
 
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| (4) || Step 2 amount (519,873) MINUS preceding break accumulated response '''399,546''' = || 120,327
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| <span style="color:red">(4)</span> || Step 2 amount (<span style="color:red">519,873</span>) MINUS preceding break accumulated response '''399,546''' = || 120,327
 
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| (5) || Acc. Response where Meidan will fall 560,981 MINUS preceding break '''399,546''' = || 161,435
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| <span style="color:red">(5)</span> || Acc. Response where Meidan will fall <span style="color:green">560,981</span> MINUS preceding break '''399,546''' = || 161,435
 
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| (6) || Step 4 Divided by Step 5 || 0.74536
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| <span style="color:red">(6)</span> || Step 4 Divided by Step 5 || 0.74536
 
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| (7) || Multiply Step 6 by the range 14,999 ($60,000-$75,999) || 11180
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| <span style="color:red">(7)</span> || Multiply Step 6 by the range 14,999 ($60,000-$75,999) || 11180
 
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| (8) || Add Step 7 to bottom of range $60,000 || '''71,180'''
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| <span style="color:red">(8)</span> || Add Step 7 to bottom of range $60,000 || '''71,180'''
 
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Revision as of 14:07, 6 August 2013

mTAB Median Calculation from Income Brackets

Approximate Annual HH Income
Median 71,180
Unweighted Sample Total Count 10,811


Approximate Annual HH Income Weighted
Response (1) Accumulated Response
Less than $15,000 || width="150"|11,714 || 11,714 |- | $15,000 - $24,999 || 46,054 || 57, 768 |- | $25,000 - $34,999 || 83,965 || 141,733 |- | $35,000 - $44,999 || 102,093 || 243,826 |- | $45,000 - $59,999 || 155,721 || '''399,546''' |- | $60,000 - $74,999 || 161,435 || '''560,981''' <--''Median will fall here'' (3) |- | $75,000 - $99,999 || 193,540 || 754,521 |- | $100,000 - $124,999 || 134,706 || 889,227 |- | $125,000 - $149,999 || 59,748 || 948,975 |- | $150,000 - $199,999 || 41,971 || 990,946 |- | $200,000 - $249,999 || 16,391 || 1,007,337 |- | $250,000 or More 32,409 1,039,746
Weighted Subset Total Count 1,039,746
Weighted Sample Total Count 1,255,411


(1) Calculated Accumulated Weighted Response
(2) Divide total (1,039,746) by 2=519,873 519,873
(3) Find first value in Accumulated Response column that is greater than step 2 value
The median will fall between the $60,000-$74,999 bracket
(4) Step 2 amount (519,873) MINUS preceding break accumulated response 399,546 = 120,327
(5) Acc. Response where Meidan will fall 560,981 MINUS preceding break 399,546 = 161,435
(6) Step 4 Divided by Step 5 0.74536
(7) Multiply Step 6 by the range 14,999 ($60,000-$75,999) 11180
(8) Add Step 7 to bottom of range $60,000 71,180