IHSA 3A Qualifiers Z Scores 2020

3A QUALIFIERS and their Z-SCORES

ALL 3A TEAMS AT SECTIONALS, RANKED BY SCORE

First let’s look at the classic list of all teams that danced at sectionals and how their scores rank. This doesn’t have that much usefulness since we have five different sectionals and four different sets of judges. For better or worse, it seems to be a popular, shorthand way of comparing apples to…I dunno, maybe sushi?

State qualifiers are starred, and the effect is bolder on this PDF:

3A Z Scores 2020

ALL 3A TEAMS RANKED BY SCORE

Rank	Team	Score	Z Score at THEIR sectional	Placement	Sectional
1	Minooka*	97.67	2.39539231722337	1	Normal Comm
2	Stevenson*	96.65	1.72460423580071	1	Mundelein-2
3	Lake Park*	95.47	1.57317306716457	2	Mundelein-2
4	Barrington*	94.73	1.41690605841888	1	DeKalb
5	South Elgin*	94.57	1.39333188482994	2	DeKalb
6	Andrew*	94.50	1.70930002297028	1	Geneva
7	Huntley*	93.63	1.25483361499489	3	DeKalb
8	Bartlett*	91.77	0.980783847023401	4	DeKalb
9	St Charles North*	90.43	0.783350143215987	5	DeKalb
10	Plainfield South*	90.00	1.10656527659975	2	Normal Comm
11	St Charles East*	89.50	0.646325259230245	6	DeKalb
12	Warren*	89.37	0.790350924215051	3	Mundelein-2
13	York*	89.17	0.764684624446214	4	Mundelein-2
14	Conant*	89.15	0.76211799446933	5	Mundelein-2
15	Waubonsie V*	89.13	0.990862208795513	2	Geneva
T-16	Naperville North*	88.80	0.94671239898589	3	Geneva
T-16	LW East*	88.80	0.904923497101918	3	Normal Comm
18	Fremd*	88.42	0.668436000313076	6	Mundelein-2
19	Naperville Central*	88.20	0.866440017513848	4	Geneva
20	Oswego East*	87.83	0.816938715606089	5	Geneva
21	Stagg*	87.67	1.61495536194077	1	Mundelein-1
22	LW Central*	86.87	0.58061630174291	4	Normal Comm
23	Lyons Twp*	86.58	1.45288365338831	2	Mundelein-1
24	Plainfield Central*	86.13	0.456270537719249	5	Normal Comm
25	Glenbard North	85.83	0.105592652533821	7	DeKalb
26	Sandburg*	85.67	0.52795814230674	6	Geneva
27	Glenbrook South*	85.40	1.2774298771572	3	Mundelein-1
28	Neuqua V	85.20	0.465078110153641	7	Geneva
29	Oswego	85.13	0.455712998981902	8	Geneva
30	Joliet West*	84.93	0.25462875822142	6	Normal Comm
31	Plainfield North	84.50	0.371426998436259	9	Geneva
32	Wheaton North	84.10	-0.149303099396646	8	DeKalb
33	Lockport	83.77	0.0597083713735182	7	Normal Comm
34	DG South	83.17	-0.00530436861888865	7	Mundelein-2
35	Belleville West	82.90	-0.0864819187624078	8	Normal Comm
36	Joliet Central	82.70	-0.120088882012046	9	Normal Comm
37	Loyola*	82.43	0.835821643761957	4	Mundelein-1
38	Jacobs	82.30	-0.414512552272277	9	DeKalb
39	Harlem	81.97	-0.463134285299475	10	DeKalb
40	DG North	81.93	-0.164435427185677	8	Mundelein-2
41	West Chicago	81.90	-0.473447986244639	11	DeKalb
42	Oak Park-RF*	81.80	0.742147170011451	5	Mundelein-1
43	Glenbard West	81.70	-0.193951671919839	9	Mundelein-2
44	O’Fallon	81.37	-0.34357518762214	10	Normal Comm
45	Niles West*	81.07	0.633603732173563	6	Mundelein-1
46	Schaumburg	80.57	-0.338966265613767	10	Mundelein-2
47	Prospect	80.23	-0.382598975220789	11	Mundelein-2
48	Normal Comm	79.97	-0.578823930369607	11	Normal Comm
49	Edwardsville	79.63	-0.635955767893992	12	Normal Comm
50	Dundee-C	79.10	-0.885996024051175	12	DeKalb
51	Homewood-F	78.70	-0.404539355793476	10	Geneva
52	Lane Tech	78.63	0.270801008441443	7	Mundelein-1
53	Bradley-B	78.08	-0.896409733078688	13	Normal Comm
54	WWS	78.03	-0.494176848437256	11	Geneva
55	Hononegah	77.95	-1.05543539672172	13	DeKalb
56	Plainfield East	77.83	-0.520934308927936	12	Geneva
57	Leyden	77.33	0.0775044753054783	8	Mundelein-1
58	Belleville East	75.70	-1.29633259574938	14	Normal Comm
59	Taft	75.03	-0.264481698704306	9	Mundelein-1
60	Larkin	75.00	-1.49008422226789	14	DeKalb
61	Palatine	74.97	-1.0576226591412	12	Mundelein-2
62	Niles North	74.37	-0.362616861681027	10	Mundelein-1
63	Waukegan	74.10	-1.16927106313564	13	Mundelein-2
64	Elgin	73.92	-1.64920989399327	15	DeKalb
65	New Trier	73.73	-0.457778231840271	11	Mundelein-1
66	Maine South	73.70	-0.462238921066486	12	Mundelein-1
67	Glenbard East	73.27	-1.27578620717631	14	Mundelein-2
68	Alton	72.70	-1.80043704449395	15	Normal Comm
69	East Aurora	72.10	-1.28753555198593	13	Geneva
70	Bolingbrook	71.57	-1.35844282228624	14	Geneva
71	Metea V	70.37	-1.51898758523032	15	Geneva
72	West Aurora	70.02	-1.56581314108901	16	Geneva
73	McHenry	70.00	-1.69543020839679	15	Mundelein-2
74	Evanston	69.03	-1.15661954394722	13	Mundelein-1
75	Morton Twp	68.63	-1.21609540029675	14	Mundelein-1
76	Lincoln Park	67.47	-1.38857538371038	15	Mundelein-1
77	Proviso East	66.07	-1.59674088093373	16	Mundelein-1

ALL 3A TEAMS AT SECTIONALS, RANKED BY Z-SCORE

Z-scores are the closest we can get to overcoming the fact that there are five sectionals and four sets of judges.

Everyone knows that you can’t really compare scores coming from different sectionals and different judges. One very imperfect way of getting around that is to figure out a team’s z-score for their sectional. Basically, you take the raw scores that a set of judges handed out at a sectional and think of that set of scores as a snapshot into those judges’ collective mindset. What did they think was average? What kind of score did they give to a dance that just killed it?

The not-fun math involves figuring out the average score and the standard deviation for each sectional. Crunch, crunch, crunch, and out comes a unique z-score for each routine. Again, it takes into account the unique curve of each set of sectionals: how far a dance is from the average of that set, measured in standard deviations. Pretty geeky and definitely like using duct tape to fix that old car in your neighbor’s driveway…

But it helps sort out our apples-to-sushi problem: we can make rough comparisons of dances even though they come from five sectionals and four sets of judges.

Let’s say that team A and team B both got 3rd place and around an 88.20 at different sectionals. But let’s also say that team A has a higher z-score than team B. What does it mean? It’s possible to say that team A impressed the judges more than team B impressed their own judges.

ALL 3A TEAMS RANKED BY THEIR SECTIONAL Z-SCORE

Rank	Team	Z Score at THEIR sectional	Placement	Sectional	Score
1	Minooka*	2.39539231722337	1	Normal Comm	97.67
2	Stevenson*	1.72460423580071	1	Mundelein-2	96.65
3	Andrew*	1.70930002297028	1	Geneva	94.50
4	Stagg*	1.61495536194077	1	Mundelein-1	87.67
5	Lake Park*	1.57317306716457	2	Mundelein-2	95.47
6	Lyons Twp*	1.45288365338831	2	Mundelein-1	86.58
7	Barrington*	1.41690605841888	1	DeKalb	94.73
8	South Elgin*	1.39333188482994	2	DeKalb	94.57
9	Glenbrook South*	1.2774298771572	3	Mundelein-1	85.40
10	Huntley*	1.25483361499489	3	DeKalb	93.63
11	Plainfield South*	1.10656527659975	2	Normal Comm	90.00
12	Waubonsie V*	0.990862208795513	2	Geneva	89.13
13	Bartlett*	0.980783847023401	4	DeKalb	91.77
14	Naperville North*	0.94671239898589	3	Geneva	88.80
15	LW East*	0.904923497101918	3	Normal Comm	88.80
16	Naperville Central*	0.866440017513848	4	Geneva	88.20
17	Loyola*	0.835821643761957	4	Mundelein-1	82.43
18	Oswego East*	0.816938715606089	5	Geneva	87.83
19	Warren*	0.790350924215051	3	Mundelein-2	89.37
20	St Charles North*	0.783350143215987	5	DeKalb	90.43
21	York*	0.764684624446214	4	Mundelein-2	89.17
22	Conant*	0.76211799446933	5	Mundelein-2	89.15
23	Oak Park-RF*	0.742147170011451	5	Mundelein-1	81.80
24	Fremd*	0.668436000313076	6	Mundelein-2	88.42
25	St Charles East*	0.646325259230245	6	DeKalb	89.50
26	Niles West*	0.633603732173563	6	Mundelein-1	81.07
27	LW Central*	0.58061630174291	4	Normal Comm	86.87
28	Sandburg*	0.52795814230674	6	Geneva	85.67
29	Neuqua V	0.465078110153641	7	Geneva	85.20
30	Plainfield Central*	0.456270537719249	5	Normal Comm	86.13
31	Oswego	0.455712998981902	8	Geneva	85.13
32	Plainfield North	0.371426998436259	9	Geneva	84.50
33	Lane Tech	0.270801008441443	7	Mundelein-1	78.63
34	Joliet West*	0.25462875822142	6	Normal Comm	84.93
35	Glenbard North	0.105592652533821	7	DeKalb	85.83
36	Leyden	0.0775044753054783	8	Mundelein-1	77.33
37	Lockport	0.0597083713735182	7	Normal Comm	83.77
38	DG South	-0.00530436861888865	7	Mundelein-2	83.17
39	Belleville West	-0.0864819187624078	8	Normal Comm	82.90
40	Joliet Central	-0.120088882012046	9	Normal Comm	82.70
41	Wheaton North	-0.149303099396646	8	DeKalb	84.10
42	DG North	-0.164435427185677	8	Mundelein-2	81.93
43	Glenbard West	-0.193951671919839	9	Mundelein-2	81.70
44	Taft	-0.264481698704306	9	Mundelein-1	75.03
45	Schaumburg	-0.338966265613767	10	Mundelein-2	80.57
46	O’Fallon	-0.34357518762214	10	Normal Comm	81.37
47	Niles North	-0.362616861681027	10	Mundelein-1	74.37
48	Prospect	-0.382598975220789	11	Mundelein-2	80.23
49	Homewood-F	-0.404539355793476	10	Geneva	78.70
50	Jacobs	-0.414512552272277	9	DeKalb	82.30
51	New Trier	-0.457778231840271	11	Mundelein-1	73.73
52	Maine South	-0.462238921066486	12	Mundelein-1	73.70
53	Harlem	-0.463134285299475	10	DeKalb	81.97
54	West Chicago	-0.473447986244639	11	DeKalb	81.90
55	WWS	-0.494176848437256	11	Geneva	78.03
56	Plainfield East	-0.520934308927936	12	Geneva	77.83
57	Normal Comm	-0.578823930369607	11	Normal Comm	79.97
58	Edwardsville	-0.635955767893992	12	Normal Comm	79.63
59	Dundee-C	-0.885996024051175	12	DeKalb	79.10
60	Bradley-B	-0.896409733078688	13	Normal Comm	78.08
61	Hononegah	-1.05543539672172	13	DeKalb	77.95
62	Palatine	-1.0576226591412	12	Mundelein-2	74.97
63	Evanston	-1.15661954394722	13	Mundelein-1	69.03
64	Waukegan	-1.16927106313564	13	Mundelein-2	74.10
65	Morton Twp	-1.21609540029675	14	Mundelein-1	68.63
66	Glenbard East	-1.27578620717631	14	Mundelein-2	73.27
67	East Aurora	-1.28753555198593	13	Geneva	72.10
68	Belleville East	-1.29633259574938	14	Normal Comm	75.70
69	Bolingbrook	-1.35844282228624	14	Geneva	71.57
70	Lincoln Park	-1.38857538371038	15	Mundelein-1	67.47
71	Larkin	-1.49008422226789	14	DeKalb	75.00
72	Metea V	-1.51898758523032	15	Geneva	70.37
73	West Aurora	-1.56581314108901	16	Geneva	70.02
74	Proviso East	-1.59674088093373	16	Mundelein-1	66.07
75	Elgin	-1.64920989399327	15	DeKalb	73.92
76	McHenry	-1.69543020839679	15	Mundelein-2	70.00
77	Alton	-1.80043704449395	15	Normal Comm	72.70

3A QUALIFIERS RANKED BY SCORE

Let’s repeat the process just looking at the qualifiers. First up it’s the classic scores list:

3A QUALIFIERS RANKED BY SCORE

Rank	Team	Score	Z Score at THEIR sectional	Placement	Sectional
1	Minooka	97.67	2.39539231722337	1	Normal Comm
2	Stevenson	96.65	1.72460423580071	1	Mundelein-2
3	Lake Park	95.47	1.57317306716457	2	Mundelein-2
4	Barrington	94.73	1.41690605841888	1	DeKalb
5	South Elgin	94.57	1.39333188482994	2	DeKalb
6	Andrew	94.50	1.70930002297028	1	Geneva
7	Huntley	93.63	1.25483361499489	3	DeKalb
8	Bartlett	91.77	0.980783847023401	4	DeKalb
9	St Charles North	90.43	0.783350143215987	5	DeKalb
10	Plainfield South	90.00	1.10656527659975	2	Normal Comm
11	St Charles East	89.50	0.646325259230245	6	DeKalb
12	Warren	89.37	0.790350924215051	3	Mundelein-2
13	York	89.17	0.764684624446214	4	Mundelein-2
14	Conant	89.15	0.76211799446933	5	Mundelein-2
15	Waubonsie V	89.13	0.990862208795513	2	Geneva
T-16	Naperville North	88.80	0.94671239898589	3	Geneva
T-16	LW East	88.80	0.904923497101918	3	Normal Comm
18	Fremd	88.42	0.668436000313076	6	Mundelein-2
19	Naperville Central	88.20	0.866440017513848	4	Geneva
20	Oswego East	87.83	0.816938715606089	5	Geneva
21	Stagg	87.67	1.61495536194077	1	Mundelein-1
22	LW Central	86.87	0.58061630174291	4	Normal Comm
23	Lyons Twp	86.58	1.45288365338831	2	Mundelein-1
24	Plainfield Central	86.13	0.456270537719249	5	Normal Comm
25	Sandburg	85.67	0.52795814230674	6	Geneva
26	Glenbrook South	85.40	1.2774298771572	3	Mundelein-1
27	Joliet West	84.93	0.25462875822142	6	Normal Comm
28	Loyola	82.43	0.835821643761957	4	Mundelein-1
29	Oak Park-RF	81.80	0.742147170011451	5	Mundelein-1
30	Niles West	81.07	0.633603732173563	6	Mundelein-1

3A QUALIFIERS RANKED BY Z-SCORE AT THEIR SECTIONAL

And here are your qualifiers ranked by the z-score they got at their own sectional:

3A QUALIFIERS RANKED BY Z-SCORE

Rank	Team	Z Score at THEIR sectional	Placement	Sectional	Score
1	Minooka	2.39539231722337	1	Normal Comm	97.67
2	Stevenson	1.72460423580071	1	Mundelein-2	96.65
3	Andrew	1.70930002297028	1	Geneva	94.50
4	Stagg	1.61495536194077	1	Mundelein-1	87.67
5	Lake Park	1.57317306716457	2	Mundelein-2	95.47
6	Lyons Twp	1.45288365338831	2	Mundelein-1	86.58
7	Barrington	1.41690605841888	1	DeKalb	94.73
8	South Elgin	1.39333188482994	2	DeKalb	94.57
9	Glenbrook South	1.2774298771572	3	Mundelein-1	85.40
10	Huntley	1.25483361499489	3	DeKalb	93.63
11	Plainfield South	1.10656527659975	2	Normal Comm	90.00
12	Waubonsie V	0.990862208795513	2	Geneva	89.13
13	Bartlett	0.980783847023401	4	DeKalb	91.77
14	Naperville North	0.94671239898589	3	Geneva	88.80
15	LW East	0.904923497101918	3	Normal Comm	88.80
16	Naperville Central	0.866440017513848	4	Geneva	88.20
17	Loyola	0.835821643761957	4	Mundelein-1	82.43
18	Oswego East	0.816938715606089	5	Geneva	87.83
19	Warren	0.790350924215051	3	Mundelein-2	89.37
20	St Charles North	0.783350143215987	5	DeKalb	90.43
21	York	0.764684624446214	4	Mundelein-2	89.17
22	Conant	0.76211799446933	5	Mundelein-2	89.15
23	Oak Park-RF	0.742147170011451	5	Mundelein-1	81.80
24	Fremd	0.668436000313076	6	Mundelein-2	88.42
25	St Charles East	0.646325259230245	6	DeKalb	89.50
26	Niles West	0.633603732173563	6	Mundelein-1	81.07
27	LW Central	0.58061630174291	4	Normal Comm	86.87
28	Sandburg	0.52795814230674	6	Geneva	85.67
29	Plainfield Central	0.456270537719249	5	Normal Comm	86.13
30	Joliet West	0.25462875822142	6	Normal Comm	84.93