Skyrim:Demographics

Race	Dawnstar		Falkreath		Markarth		Morthal		Riften		Solitude		Whiterun		Windhelm		Winterhold		TOTAL
	#	%	#	%	#	%	#	%	#	%	#	%	#	%	#	%	#	%	#	%
Altmer	0	0%	2	7%	3	4%	0	0%	0	0%	4	5%	0	0%	4	7%	4	13%	17	4%
Argonian	0	0%	1	4%	0	0%	0	0%	5	6%	3	4%	0	0%	4	7%	0	0%	13	3%
Bosmer	0	0%	0	0%	0	0%	0	0%	7	8%	1	1%	3	4%	0	0%	1	3%	12	2%
Breton	2	6%	2	7%	34	43%	0	0%	6	7%	8	10%	3	4%	1	2%	5	16%	61	13%
Dunmer	2	6%	1	4%	0	0%	0	0%	9	11%	0	0%	3	4%	10	17%	5	16%	30	6%
Imperial	1	3%	3	11%	6	8%	1	6%	11	13%	14	18%	10	13%	6	10%	1	3%	53	11%
Khajiit	0	0%	0	0%	0	0%	0	0%	0	0%	0	0%	0	0%	0	0%	1	3%	1	0%
Nord	22	71%	16	57%	20	25%	12	71%	37	45%	39	49%	44	58%	29	50%	12	39%	231	48%
Orc	0	0%	0	0%	6	8%	1	6%	0	0%	1	1%	0	0%	0	0%	1	3%	9	2%
Redguard	2	6%	2	7%	5	6%	2	12%	3	4%	7	9%	7	9%	0	0%	0	0%	28	6%
Elder	2	6%	1	4%	5	6%	1	6%	5	6%	3	4%	6	8%	4	7%	1	3%	28	6%
TOTAL	31		28		79		17		83		80		76		58		31		483

Note that this does not include unnamed guards. Also, the Elder race is not strictly a race in terms of lore, but is considered a different race by the game. Likely, the majority of these can be considered to be Nords, but this is speculative and cannot always be confirmed.