Average President's Birthday

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T
1	Nate's original comment: https://twitter.com/NateSilver538/status/965704156106448898
2	Blog post with handy table of birthdays: https://thewanderingengineer.com/2018/02/19/average-presidents-birthday/
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4	President	Name	Days in Office	Terms	Birthday	Birth day-of-year	DoY formula (no leap years)	Angle (degrees)	x	y	Name	r	atan2(y,x)	DoY check
5	1	George Washington	2865	2	2/22/1732	53	53	52.3	0.7909	0.6119	George Washington	1.00	52.3	53			89
6	2	John Adams	1460	1	10/30/1735	303	303	298.8	-0.8759	0.4825	John Adams	1.00	-61.2	303			21
7	3	Thomas Jefferson	2922	2	4/13/1743	103	103	101.6	0.9796	-0.2009	Thomas Jefferson	1.00	101.6	103			139
8	4	James Madison	2922	2	3/16/1751	75	75	74.0	0.9611	0.2761	James Madison	1.00	74.0	75			111
9	5	James Monroe	2922	2	4/28/1758	118	118	116.4	0.8958	-0.4444	James Monroe	1.00	116.4	118			154
10	6	John Quincy Adams	1461	1	7/11/1767	192	192	189.4	-0.1628	-0.9867	John Quincy Adams	1.00	-170.6	192			132
11	7	Andrew Jackson	2922	2	3/15/1767	74	74	73.0	0.9562	0.2926	Andrew Jackson	1.00	73.0	74			110
12	8	Martin Van Buren	1461	1	12/5/1782	339	339	334.4	-0.4328	0.9015	Martin Van Buren	1.00	-25.6	339			15
13	9	William Henry Harrison	31	1	2/9/1773	40	40	39.5	0.6354	0.7722	William Henry Harrison	1.00	39.5	40			76
14	10	John Tyler	1430	1	3/29/1790	88	88	86.8	0.9984	0.0559	John Tyler	1.00	86.8	88			124
15	11	James K. Polk	1461	1	11/2/1795	306	306	301.8	-0.8498	0.5271	James K. Polk	1.00	-58.2	306			18
16	12	Zachary Taylor	492	1	11/24/1784	328	328	323.5	-0.5947	0.8039	Zachary Taylor	1.00	-36.5	328			4
17	13	Millard Fillmore	969	1	1/7/1800	7	7	6.9	0.1202	0.9927	Millard Fillmore	1.00	6.9	7			43
18	14	Franklin Pierce	1461	1	11/23/1804	327	327	322.5	-0.6085	0.7936	Franklin Pierce	1.00	-37.5	327			3
19	15	James Buchanan	1461	1	4/23/1791	113	113	111.5	0.9307	-0.3657	James Buchanan	1.00	111.5	113			149
20	16	Abraham Lincoln	1503	2	2/12/1809	43	43	42.4	0.6744	0.7383	Abraham Lincoln	1.00	42.4	43			79
21	17	Andrew Johnson	1419	1	12/29/1808	364	363	358.0	-0.0344	0.9994	Andrew Johnson	1.00	-2.0	363			39
22	18	Ulysses S. Grant	2922	2	4/27/1865	117	117	115.4	0.9034	-0.4289	Ulysses S. Grant	1.00	115.4	117			153
23	19	Rutherford B. Hayes	1461	1	10/4/1822	277	277	273.2	-0.9984	0.0559	Rutherford B. Hayes	1.00	-86.8	277			47
24	20	James A. Garfield	199	1	11/19/1831	323	323	318.6	-0.6616	0.7498	James A. Garfield	1.00	-41.4	323			1
25	21	Chester A. Arthur	1262	1	10/5/1829	278	278	274.2	-0.9973	0.0731	Chester A. Arthur	1.00	-85.8	278			46
26	22	Grover Cleveland	2922	4	3/18/1837	77	77	75.9	0.9701	0.2428	Grover Cleveland	1.00	75.9	77			113
27	23	Benjamin Harrison	1461	1	8/20/1833	232	232	228.8	-0.7527	-0.6584	Benjamin Harrison	1.00	-131.2	232			92
28	25	William McKinley	1654	2	1/29/1856	29	29	28.6	0.4787	0.8780	William McKinley	1.00	28.6	29			65
29	26	Theodore Roosevelt	2728	2	10/27/1858	300	300	295.9	-0.8996	0.4367	Theodore Roosevelt	1.00	-64.1	300			24
30	27	William Howard Taft	1461	1	9/15/1843	258	258	254.5	-0.9635	-0.2678	William Howard Taft	1.00	-105.5	258			66
31	28	Woodrow Wilson	2922	2	12/28/1856	362	362	357.0	-0.0516	0.9987	Woodrow Wilson	1.00	-3.0	362			38
32	29	Warren G. Harding	881	1	11/2/1857	306	306	301.8	-0.8498	0.5271	Warren G. Harding	1.00	-58.2	306			18
33	30	Calvin Coolidge	2041	2	7/4/1872	185	185	182.5	-0.0430	-0.9991	Calvin Coolidge	1.00	-177.5	185			139
34	31	Herbert Hoover	1461	1	8/10/1874	222	222	219.0	-0.6288	-0.7776	Herbert Hoover	1.00	-141.0	222			102
35	32	Franklin D. Roosevelt	4422	4	1/30/1882	30	30	29.6	0.4938	0.8696	Franklin D. Roosevelt	1.00	29.6	30			66
36	33	Harry S. Truman	2840	2	5/8/1884	128	128	126.2	0.8065	-0.5913	Harry S. Truman	1.00	126.2	128			164
37	34	Dwight D. Eisenhower	2922	2	10/14/1890	287	287	283.1	-0.9741	0.2261	Dwight D. Eisenhower	1.00	-76.9	287			37
38	35	John F. Kennedy	1036	1	5/29/2917	149	149	147.0	0.5452	-0.8383	John F. Kennedy	1.00	147.0	149			175
39	36	Lyndon B. Johnson	1886	1	8/27/1908	239	239	235.7	-0.8264	-0.5632	Lyndon B. Johnson	1.00	-124.3	239			85
40	37	Richard Nixon	2027	2	1/9/1913	9	9	8.9	0.1543	0.9880	Richard Nixon	1.00	8.9	9			45
41	38	Gerald Ford	895	1	7/14/1913	194	195	192.3	-0.2135	-0.9769	Gerald Ford	1.00	-167.7	195			129
42	39	James Earl Carter	1461	1	10/1/1924	274	274	270.2	-1.0000	0.0043	James Earl Carter	1.00	-89.8	274			50
43	40	Ronald Reagan	2922	2	2/6/1911	37	37	36.5	0.5947	0.8039	Ronald Reagan	1.00	36.5	37			73
44	41	George H. W. Bush	1461	1	6/12/1924	163	163	160.8	0.3294	-0.9442	George H. W. Bush	1.00	160.8	163			161
45	42	William Jefferson Clinton	2922	2	8/19/1946	231	231	227.8	-0.7412	-0.6713	William Jefferson Clinton	1.00	-132.2	231			93
46	43	George W. Bush	2922	2	7/6/1946	187	187	184.4	-0.0774	-0.9970	George W. Bush	1.00	-175.6	187			137
47	44	Barack Obama	2922	2	8/4/1961	216	216	213.0	-0.5452	-0.8383	Barack Obama	1.00	-147.0	216			108
48	45	Donald Trump	394	1	6/14/1946	165	165	162.7	0.2967	-0.9550	Donald Trump	1.00	162.7	165			159
49		Average			1/1/2001				-0.0288	0.0590	Average	0.07	-26.0	338.6	<= avg day of year	candidate avg angle =>	324	423650	3692
50														Dec 5	by avg vector method		avg angle	sum sq diff	sum abs diff
51																manually recorded =>	310	432610	3718
52														324	<= avg day of year	from green cells above	311	431398	3716
53														Nov 20	by min sum of sq method	by varying candidate avg	312	430274	3714
54																	313	429238	3712
55														Nov 19-23	by min abs diff method		314	428290	3710
56																	315	427430	3708
57																	316	426658	3706
58																	317	425974	3704
59																	318	425378	3702
60																	319	424870	3700
61																	320	424450	3698
62																	321	424118	3696
63																	322	423874	3694
64																	323	423718	3692	<= min sum abs diff
65																minimizes sum sq =>	324	423650	3692	<= min sum abs diff
66																	325	423670	3692	<= min sum abs diff
67																	326	423778	3692	<= min sum abs diff
68																	327	423974	3692	<= min sum abs diff
69																	328	424258	3694
70																	329	424630	3698
71																	330	424370	3700
72																	331	424198	3702
73																	332	424114	3704
74																	333	424118	3706
75																	334	424210	3708
76																	335	424390	3710
77																	336	424658	3712
78																	337	425014	3714
79																	338	425458	3716
80																	339	425990	3718
81																	340	426610	3722
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