::Free Statistics and Forecasting Software::

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This free online calculator computes the following Concentration statistics: entropy, maximum entropy, normalized entropy, exponential index, Lorenz curve, Herfindahl index, Gini coefficient, and concentration coefficient. To be used with (absolute) frequencies.

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Data:
2443.6 2460.2 2448.2 2470.4 2484.7 2466.8 2487.9 2508.4 2510.5 2497.4 2532.5 2556.8 2561 2547.3 2541.5 2558.5 2587.9 2580.5 2579.6 2589.3 2595 2595.6 2588.8 2591.7 2601.7 2585.4 2573.3 2597.4 2600.6 2570.6 2569.4 2584.9 2608.8 2617.2 2621 2540.5 2554.5 2601.9 2623 2640.7 2640.7 2619.8 2624.2 2638.2 2645.7 2679.6 2669 2664.6 2663.3 2667.4 2653.2 2630.8 2626.6 2641.9 2625.8 2606 2594.4 2583.6 2588.7 2600.3 2579.5 2576.6 2597.8 2595.6 2599 2621.7 2645.6 2644.2 2625.6 2624.6 2596.2 2599.5 2584.1 2570.8 2555 2574.5 2576.7 2579 2588.7 2601.1 2575.7 2559.5 2561.1 2528.3 2514.7 2558.5 2553.3 2577.1 2566 2549.5 2527.8 2540.9 2534.2 2538 2559 2554.9 2575.5 2546.5 2561.6 2546.6 2502.9 2463.1 2472.6 2463.5 2446.3 2456.2 2471.5 2447.5 2428.6 2420.2 2414.9 2420.2 2423.8 2407 2388.7 2409.6 2392 2380.2 2423.3 2451.6 2440.8 2432.9 2413.6 2391.6 2358.1 2345.4 2384.4 2384.4 2384.4 2418.7 2420 2493.1 2493.1 2492.8
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Concentration - Ungrouped Data
Entropy	4.897331
Maximum Entropy	4.897840
Normalized Entropy	0.999896
Exponential Index	0.007466
Herfindahl	0.007470
Normalized Herfindahl	0.000008
Gini Coefficient	0.017852
Concentration Coefficient	0.017986
Categories	134

Concentration 2 - Ungrouped Data
Category	Elements (Absolute)	Elements (Relative)	Entropy (Absolute)	Entropy (Relative)
1	2443.600000	0.007178	0.035435	0.007236
2	2460.200000	0.007227	0.035627	0.007275
3	2448.200000	0.007191	0.035488	0.007246
4	2470.400000	0.007256	0.035744	0.007299
5	2484.700000	0.007298	0.035909	0.007332
6	2466.800000	0.007246	0.035703	0.007290
7	2487.900000	0.007308	0.035946	0.007340
8	2508.400000	0.007368	0.036182	0.007388
9	2510.500000	0.007374	0.036206	0.007393
10	2497.400000	0.007336	0.036055	0.007362
11	2532.500000	0.007439	0.036458	0.007445
12	2556.800000	0.007510	0.036736	0.007501
13	2561.000000	0.007523	0.036784	0.007511
14	2547.300000	0.007482	0.036628	0.007479
15	2541.500000	0.007465	0.036561	0.007466
16	2558.500000	0.007515	0.036756	0.007505
17	2587.900000	0.007602	0.037091	0.007574
18	2580.500000	0.007580	0.037007	0.007557
19	2579.600000	0.007577	0.036997	0.007554
20	2589.300000	0.007606	0.037107	0.007577
21	2595.000000	0.007622	0.037172	0.007590
22	2595.600000	0.007624	0.037179	0.007592
23	2588.800000	0.007604	0.037102	0.007576
24	2591.700000	0.007613	0.037135	0.007583
25	2601.700000	0.007642	0.037248	0.007606
26	2585.400000	0.007594	0.037063	0.007568
27	2573.300000	0.007559	0.036925	0.007540
28	2597.400000	0.007630	0.037200	0.007596
29	2600.600000	0.007639	0.037236	0.007603
30	2570.600000	0.007551	0.036894	0.007533
31	2569.400000	0.007547	0.036880	0.007531
32	2584.900000	0.007593	0.037057	0.007567
33	2608.800000	0.007663	0.037329	0.007622
34	2617.200000	0.007688	0.037425	0.007642
35	2621.000000	0.007699	0.037468	0.007651
36	2540.500000	0.007462	0.036550	0.007463
37	2554.500000	0.007504	0.036710	0.007496
38	2601.900000	0.007643	0.037251	0.007606
39	2623.000000	0.007705	0.037491	0.007655
40	2640.700000	0.007757	0.037691	0.007696
41	2640.700000	0.007757	0.037691	0.007696
42	2619.800000	0.007695	0.037454	0.007648
43	2624.200000	0.007708	0.037504	0.007658
44	2638.200000	0.007749	0.037663	0.007691
45	2645.700000	0.007771	0.037748	0.007708
46	2679.600000	0.007871	0.038132	0.007786
47	2669.000000	0.007840	0.038012	0.007762
48	2664.600000	0.007827	0.037962	0.007752
49	2663.300000	0.007823	0.037947	0.007749
50	2667.400000	0.007835	0.037994	0.007758
51	2653.200000	0.007793	0.037833	0.007725
52	2630.800000	0.007728	0.037579	0.007673
53	2626.600000	0.007715	0.037531	0.007664
54	2641.900000	0.007760	0.037705	0.007699
55	2625.800000	0.007713	0.037522	0.007662
56	2606.000000	0.007655	0.037297	0.007616
57	2594.400000	0.007621	0.037165	0.007589
58	2583.600000	0.007589	0.037042	0.007564
59	2588.700000	0.007604	0.037100	0.007576
60	2600.300000	0.007638	0.037233	0.007603
61	2579.500000	0.007577	0.036996	0.007554
62	2576.600000	0.007568	0.036962	0.007547
63	2597.800000	0.007631	0.037204	0.007597
64	2595.600000	0.007624	0.037179	0.007592
65	2599.000000	0.007634	0.037218	0.007600
66	2621.700000	0.007701	0.037476	0.007652
67	2645.600000	0.007771	0.037747	0.007708
68	2644.200000	0.007767	0.037731	0.007704
69	2625.600000	0.007712	0.037520	0.007661
70	2624.600000	0.007709	0.037509	0.007659
71	2596.200000	0.007626	0.037186	0.007593
72	2599.500000	0.007636	0.037223	0.007601
73	2584.100000	0.007590	0.037048	0.007565
74	2570.800000	0.007551	0.036896	0.007534
75	2555.000000	0.007505	0.036716	0.007497
76	2574.500000	0.007562	0.036939	0.007543
77	2576.700000	0.007569	0.036964	0.007548
78	2579.000000	0.007575	0.036990	0.007553
79	2588.700000	0.007604	0.037100	0.007576
80	2601.100000	0.007640	0.037242	0.007604
81	2575.700000	0.007566	0.036952	0.007545
82	2559.500000	0.007518	0.036767	0.007508
83	2561.100000	0.007523	0.036786	0.007511
84	2528.300000	0.007427	0.036410	0.007435
85	2514.700000	0.007387	0.036254	0.007403
86	2558.500000	0.007515	0.036756	0.007505
87	2553.300000	0.007500	0.036696	0.007493
88	2577.100000	0.007570	0.036968	0.007549
89	2566.000000	0.007537	0.036841	0.007523
90	2549.500000	0.007489	0.036653	0.007484
91	2527.800000	0.007425	0.036404	0.007434
92	2540.900000	0.007464	0.036554	0.007464
93	2534.200000	0.007444	0.036478	0.007448
94	2538.000000	0.007455	0.036521	0.007457
95	2559.000000	0.007517	0.036762	0.007506
96	2554.900000	0.007505	0.036715	0.007497
97	2575.500000	0.007565	0.036950	0.007545
98	2546.500000	0.007480	0.036619	0.007477
99	2561.600000	0.007524	0.036791	0.007513
100	2546.600000	0.007480	0.036620	0.007477
101	2502.900000	0.007352	0.036119	0.007375
102	2463.100000	0.007235	0.035660	0.007282
103	2472.600000	0.007263	0.035770	0.007304
104	2463.500000	0.007236	0.035665	0.007283
105	2446.300000	0.007186	0.035466	0.007242
106	2456.200000	0.007215	0.035581	0.007265
107	2471.500000	0.007260	0.035757	0.007301
108	2447.500000	0.007189	0.035480	0.007245
109	2428.600000	0.007134	0.035261	0.007200
110	2420.200000	0.007109	0.035164	0.007180
111	2414.900000	0.007093	0.035103	0.007168
112	2420.200000	0.007109	0.035164	0.007180
113	2423.800000	0.007120	0.035206	0.007189
114	2407.000000	0.007070	0.035011	0.007149
115	2388.700000	0.007017	0.034798	0.007106
116	2409.600000	0.007078	0.035041	0.007155
117	2392.000000	0.007026	0.034837	0.007113
118	2380.200000	0.006992	0.034699	0.007085
119	2423.300000	0.007118	0.035200	0.007188
120	2451.600000	0.007201	0.035527	0.007254
121	2440.800000	0.007170	0.035403	0.007229
122	2432.900000	0.007146	0.035311	0.007210
123	2413.600000	0.007090	0.035087	0.007165
124	2391.600000	0.007025	0.034832	0.007112
125	2358.100000	0.006927	0.034442	0.007033
126	2345.400000	0.006889	0.034294	0.007002
127	2384.400000	0.007004	0.034748	0.007095
128	2384.400000	0.007004	0.034748	0.007095
129	2384.400000	0.007004	0.034748	0.007095
130	2418.700000	0.007105	0.035147	0.007177
131	2420.000000	0.007108	0.035162	0.007180
132	2493.100000	0.007323	0.036006	0.007352
133	2493.100000	0.007323	0.036006	0.007352
134	2492.800000	0.007322	0.036002	0.007351

Concentration 3 - Ungrouped Data
Category	Elements (Absolute Cumulated)	Elements (Relative Cumulated)	Entropy (Absolute Cumulated)	Entropy (Relative Cumulated)
1	2443.600000	0.007178	0.035435	0.007236
2	4903.800000	0.014404	0.071062	0.014510
3	7352.000000	0.021596	0.106550	0.021757
4	9822.400000	0.028852	0.142294	0.029055
5	12307.100000	0.036151	0.178203	0.036388
6	14773.900000	0.043396	0.213906	0.043678
7	17261.800000	0.050704	0.249852	0.051018
8	19770.200000	0.058072	0.286034	0.058406
9	22280.700000	0.065447	0.322240	0.065799
10	24778.100000	0.072783	0.358295	0.073161
11	27310.600000	0.080221	0.394754	0.080606
12	29867.400000	0.087732	0.431490	0.088107
13	32428.400000	0.095254	0.468274	0.095618
14	34975.700000	0.102737	0.504902	0.103097
15	37517.200000	0.110202	0.541464	0.110563
16	40075.700000	0.117717	0.578219	0.118068
17	42663.600000	0.125319	0.615311	0.125642
18	45244.100000	0.132899	0.652318	0.133199
19	47823.700000	0.140476	0.689314	0.140753
20	50413.000000	0.148082	0.726422	0.148330
21	53008.000000	0.155704	0.763594	0.155920
22	55603.600000	0.163328	0.800773	0.163512
23	58192.400000	0.170933	0.837874	0.171088
24	60784.100000	0.178546	0.875009	0.178671
25	63385.800000	0.186188	0.912258	0.186276
26	65971.200000	0.193782	0.949320	0.193844
27	68544.500000	0.201341	0.986245	0.201384
28	71141.900000	0.208970	1.023445	0.208980
29	73742.500000	0.216609	1.060681	0.216583
30	76313.100000	0.224160	1.097575	0.224117
31	78882.500000	0.231707	1.134455	0.231648
32	81467.400000	0.239300	1.171512	0.239214
33	84076.200000	0.246963	1.208841	0.246837
34	86693.400000	0.254651	1.246266	0.254479
35	89314.400000	0.262350	1.283734	0.262129
36	91854.900000	0.269812	1.320284	0.269593
37	94409.400000	0.277316	1.356994	0.277088
38	97011.300000	0.284958	1.394245	0.284695
39	99634.300000	0.292663	1.431735	0.292350
40	102275.000000	0.300420	1.469427	0.300046
41	104915.700000	0.308176	1.507118	0.307743
42	107535.500000	0.315872	1.544572	0.315391
43	110159.700000	0.323580	1.582077	0.323049
44	112797.900000	0.331329	1.619740	0.330739
45	115443.600000	0.339101	1.657488	0.338447
46	118123.200000	0.346972	1.695619	0.346233
47	120792.200000	0.354812	1.733631	0.353995
48	123456.800000	0.362639	1.771593	0.361747
49	126120.100000	0.370462	1.809541	0.369495
50	128787.500000	0.378297	1.847534	0.377253
51	131440.700000	0.386090	1.885367	0.384979
52	134071.500000	0.393818	1.922946	0.392652
53	136698.100000	0.401533	1.960478	0.400316
54	139340.000000	0.409293	1.998183	0.408015
55	141965.800000	0.417006	2.035705	0.415677
56	144571.800000	0.424661	2.073003	0.423292
57	147166.200000	0.432282	2.110168	0.430881
58	149749.800000	0.439871	2.147210	0.438445
59	152338.500000	0.447475	2.184311	0.446021
60	154938.800000	0.455113	2.221543	0.453623
61	157518.300000	0.462690	2.258539	0.461178
62	160094.900000	0.470258	2.295501	0.468725
63	162692.700000	0.477889	2.332705	0.476322
64	165288.300000	0.485513	2.369884	0.483914
65	167887.300000	0.493148	2.407102	0.491513
66	170509.000000	0.500848	2.444578	0.499165
67	173154.600000	0.508620	2.482325	0.506873
68	175798.800000	0.516387	2.520056	0.514577
69	178424.400000	0.524099	2.557576	0.522239
70	181049.000000	0.531808	2.595085	0.529898
71	183645.200000	0.539434	2.632271	0.537491
72	186244.700000	0.547070	2.669494	0.545092
73	188828.800000	0.554661	2.706542	0.552657
74	191399.600000	0.562212	2.743439	0.560191
75	193954.600000	0.569717	2.780154	0.567688
76	196529.100000	0.577279	2.817093	0.575230
77	199105.800000	0.584848	2.854057	0.582778
78	201684.800000	0.592423	2.891046	0.590331
79	204273.500000	0.600027	2.928147	0.597907
80	206874.600000	0.607668	2.965388	0.605511
81	209450.300000	0.615234	3.002341	0.613057
82	212009.800000	0.622752	3.039108	0.620564
83	214570.900000	0.630275	3.075893	0.628076
84	217099.200000	0.637701	3.112304	0.635510
85	219613.900000	0.645088	3.148558	0.642913
86	222172.400000	0.652603	3.185314	0.650418
87	224725.700000	0.660103	3.222010	0.657911
88	227302.800000	0.667673	3.258978	0.665460
89	229868.800000	0.675210	3.295820	0.672983
90	232418.300000	0.682699	3.332472	0.680467
91	234946.100000	0.690124	3.368877	0.687901
92	237487.000000	0.697588	3.405431	0.695365
93	240021.200000	0.705032	3.441909	0.702813
94	242559.200000	0.712487	3.478430	0.710271
95	245118.200000	0.720003	3.515192	0.717777
96	247673.100000	0.727508	3.551907	0.725274
97	250248.600000	0.735073	3.588857	0.732819
98	252795.100000	0.742553	3.625475	0.740296
99	255356.700000	0.750078	3.662266	0.747809
100	257903.300000	0.757558	3.698886	0.755286
101	260406.200000	0.764910	3.735005	0.762661
102	262869.300000	0.772145	3.770665	0.769943
103	265341.900000	0.779408	3.806435	0.777247
104	267805.400000	0.786644	3.842100	0.784529
105	270251.700000	0.793830	3.877566	0.791771
106	272707.900000	0.801045	3.913146	0.799037
107	275179.400000	0.808304	3.948903	0.806338
108	277626.900000	0.815494	3.984383	0.813583
109	280055.500000	0.822627	4.019645	0.820783
110	282475.700000	0.829736	4.054809	0.827963
111	284890.600000	0.836830	4.089911	0.835131
112	287310.800000	0.843939	4.125075	0.842311
113	289734.600000	0.851058	4.160281	0.849500
114	292141.600000	0.858129	4.195292	0.856649
115	294530.300000	0.865145	4.230090	0.863754
116	296939.900000	0.872223	4.265131	0.870909
117	299331.900000	0.879249	4.299968	0.878023
118	301712.100000	0.886241	4.334667	0.885108
119	304135.400000	0.893359	4.369867	0.892296
120	306587.000000	0.900560	4.405395	0.899550
121	309027.800000	0.907730	4.440797	0.906779
122	311460.700000	0.914876	4.476108	0.913989
123	313874.300000	0.921966	4.511196	0.921154
124	316265.900000	0.928991	4.546028	0.928267
125	318624.000000	0.935917	4.580470	0.935299
126	320969.400000	0.942807	4.614763	0.942302
127	323353.800000	0.949811	4.649512	0.949397
128	325738.200000	0.956814	4.684260	0.956492
129	328122.600000	0.963818	4.719008	0.963588
130	330541.300000	0.970923	4.754155	0.970764
131	332961.300000	0.978031	4.789316	0.977944
132	335454.400000	0.985355	4.825322	0.985296
133	337947.500000	0.992678	4.861328	0.992649
134	340440.300000	1.000000	4.897331	1.000000

Concentration 4 - Lorenz Curve - Ungrouped Data
Cumulative % of population	Cumulative % of variable
	Expected	Observed
0%	0.000000	0.000010
1%	0.007463	0.006889
1%	0.014925	0.013816
2%	0.022388	0.020807
3%	0.029851	0.027811
4%	0.037313	0.034815
4%	0.044776	0.041819
5%	0.052239	0.048836
6%	0.059701	0.055861
7%	0.067164	0.062887
7%	0.074627	0.069957
8%	0.082090	0.077035
9%	0.089552	0.084125
10%	0.097015	0.091218
10%	0.104478	0.098323
11%	0.111940	0.105431
12%	0.119403	0.112540
13%	0.126866	0.119649
13%	0.134328	0.126767
14%	0.141791	0.133887
15%	0.149254	0.141021
16%	0.156716	0.148167
16%	0.164179	0.155336
17%	0.171642	0.162514
18%	0.179104	0.169700
19%	0.186567	0.176889
19%	0.194030	0.184080
20%	0.201493	0.191282
21%	0.208955	0.198496
22%	0.216418	0.205723
22%	0.223881	0.212958
23%	0.231343	0.220194
24%	0.238806	0.227440
25%	0.246269	0.234697
25%	0.253731	0.241956
26%	0.261194	0.249219
27%	0.268657	0.256518
28%	0.276119	0.263826
28%	0.283582	0.271148
29%	0.291045	0.278471
30%	0.298507	0.285794
31%	0.305970	0.293130
31%	0.313433	0.300482
32%	0.320896	0.307850
33%	0.328358	0.315224
34%	0.335821	0.322611
34%	0.343284	0.330036
35%	0.350746	0.337463
36%	0.358209	0.344902
37%	0.365672	0.352345
37%	0.373134	0.359801
38%	0.380597	0.367263
39%	0.388060	0.374726
40%	0.395522	0.382192
40%	0.402985	0.389672
41%	0.410448	0.397152
42%	0.417910	0.404635
43%	0.425373	0.412123
43%	0.432836	0.419623
44%	0.440299	0.427127
45%	0.447761	0.434632
46%	0.455224	0.442137
46%	0.462687	0.449647
47%	0.470149	0.457162
48%	0.477612	0.464677
49%	0.485075	0.472194
49%	0.492537	0.479712
50%	0.500000	0.487235
51%	0.507463	0.494758
51%	0.514925	0.502282
52%	0.522388	0.509819
53%	0.529851	0.517367
54%	0.537313	0.524918
54%	0.544776	0.532469
55%	0.552239	0.540028
56%	0.559701	0.547590
57%	0.567164	0.555155
57%	0.574627	0.562721
58%	0.582090	0.570289
59%	0.589552	0.577858
60%	0.597015	0.585428
60%	0.604478	0.593004
61%	0.611940	0.600580
62%	0.619403	0.608158
63%	0.626866	0.615738
63%	0.634328	0.623327
64%	0.641791	0.630917
65%	0.649254	0.638510
66%	0.656716	0.646104
66%	0.664179	0.653706
67%	0.671642	0.661310
68%	0.679104	0.668914
69%	0.686567	0.676518
69%	0.694030	0.684124
70%	0.701493	0.691737
71%	0.708955	0.699357
72%	0.716418	0.706980
72%	0.723881	0.714604
73%	0.731343	0.722228
74%	0.738806	0.729854
75%	0.746269	0.737484
75%	0.753731	0.745114
76%	0.761194	0.752749
77%	0.768657	0.760384
78%	0.776119	0.768022
78%	0.783582	0.775661
79%	0.791045	0.783302
80%	0.798507	0.790944
81%	0.805970	0.798587
81%	0.813433	0.806242
82%	0.820896	0.813905
83%	0.828358	0.821592
84%	0.835821	0.829288
84%	0.843284	0.836986
85%	0.850746	0.844687
86%	0.858209	0.852392
87%	0.865672	0.860100
87%	0.873134	0.867810
88%	0.880597	0.875522
89%	0.888060	0.883235
90%	0.895522	0.890950
90%	0.902985	0.898678
91%	0.910448	0.906427
92%	0.917910	0.914184
93%	0.925373	0.921941
93%	0.932836	0.929701
94%	0.940299	0.937468
95%	0.947761	0.945239
96%	0.955224	0.953011
96%	0.962687	0.960804
97%	0.970149	0.968627
98%	0.977612	0.976454
99%	0.985075	0.984289
99%	0.992537	0.992129
100%	1.000000	1.000000

To cite Wessa.net in publications use:
Wessa, P. (2013), Free Statistics Software, Office for Research Development and Education,
version 1.1.23-r7, URL http://www.wessa.net/

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