IHSA 2A Qualifiers Z Scores 2020

2A QUALIFIERS and their Z-SCORES

ALL 2A 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:

2A Z Scores 2020

ALL 2A TEAMS RANKED BY SCORE

Rank	Team	Score	Z Score at THEIR sectional	Placement	Sectional
1	Geneva*	95.10	1.55123564027175	1	Geneva 2
2	Sycamore*	92.80	1.31847043670513	1	DeKalb
3	Lake Zurich*	92.70	1.30890039382738	2	DeKalb
4	Whitney Young*	91.87	1.20839664245601	2	Geneva 2
5	Deerfield*	91.77	1.58554024060573	1	Mundelein
6	Argo*	91.62	1.18186111630928	3	Geneva 2
7	Mundelein*	90.53	1.42067471368831	2	Mundelein
8	Crystal Lake Central*	89.63	1.01510007748033	3	DeKalb
9	Montini*	89.47	0.953655591447403	4	Geneva 2
10	Libertyville*	88.90	1.20395631943396	3	Mundelein
11	Wauconda*	88.55	0.911743614400592	4	DeKalb
12	LW-West*	88.00	1.62873132634588	1	Normal Comm
13	Cary-G*	87.20	0.782548035550916	5	DeKalb
14	Hersey*	87.13	0.96862407536635	4	Mundelein
15	Dunlap*	86.90	1.46428851230454	2	Normal Comm
16	Grant*	86.57	0.894168676113321	5	Mundelein
T-17	DeKalb*	86.47	0.712686722543313	6	DeKalb
T-17	Hinsdale South*	86.47	1.51221175184114	1	Geneva-1
T-17	Fenton*	86.47	0.635229277686648	5	Geneva 2
20	Crystal Lake South	86.33	0.699288662514457	7	DeKalb
21	Jones*	86.23	0.609755172585787	6	Geneva 2
T-22	Willowbrook	85.40	0.521657225778645	7	Geneva 2
T-22	Antioch*	85.40	0.738610074102529	6	Mundelein
24	Marist*	84.37	1.20128048432811	2	Geneva-1
25	Oak Forest*	84.30	1.19091610874434	3	Geneva-1
26	Lemont*	84.13	1.16574548232662	4	Geneva-1
27	Lake Forest	83.97	0.548482893867117	7	Mundelein
28	Vernon Hills	83.47	0.48200485881977	8	Mundelein
29	Hampshire	83.17	0.396875307577437	8	DeKalb
30	Kenwood	82.52	0.21596796456832	8	Geneva 2
31	Batavia*	82.33	0.899232967315453	5	Geneva-1
32	Prairie Ridge	82.27	0.310744921677652	9	DeKalb
33	Pekin*	82.00	0.731770522483992	3	Normal Comm
34	Washington*	81.63	0.676457939579176	4	Normal Comm
35	Glenbard South	81.37	0.0939045442933635	9	Geneva 2
36	Reavis	80.33	-0.0164832444770317	10	Geneva 2
37	Romeoville*	80.00	0.432783587863362	5	Normal Comm
38	Collinsville*	79.27	0.323653356726832	6	Normal Comm
39	TF South*	79.13	0.425432940628933	6	Geneva-1
40	Rolling Meadows	78.53	-0.174798127448019	9	Mundelein
41	St Ignatius	78.48	-0.212846137962831	11	Geneva 2
42	Ottawa	78.33	0.183129497455136	7	Normal Comm
43	Richards	78.32	0.305502308873908	7	Geneva-1
44	Freeport	77.83	-0.114164982094617	10	DeKalb
45	Crete-M	77.77	0.0994131557613595	8	Normal Comm
46	Normal West	77.70	0.0889486130496375	9	Normal Comm
47	Hoffman Estates	77.63	-0.303066926861712	12	Geneva 2
48	Riverside-B	76.97	-0.373120715889078	13	Geneva 2
49	Benet	76.95	0.102656672448741	8	Geneva-1
50	Maine East	76.77	-0.40880081081468	10	Mundelein
51	Rockford East	76.47	-0.244317565232069	11	DeKalb
52	Yorkville	76.20	-0.135291587915835	10	Normal Comm
53	Lakes	75.07	-0.63482612997566	11	Mundelein
54	Streamwood	74.83	-0.401266268427232	12	DeKalb
55	Buffalo Grove	74.00	-0.777089124976982	12	Mundelein
56	Grayslake Central	73.65	-0.823623749510125	13	Mundelein
57	TF North	72.20	-0.600640242164062	9	Geneva-1
58	Belvidere North	71.80	-0.691238567623173	13	DeKalb
59	Bremen	71.50	-0.704283998001738	10	Geneva-1
60	Oak Lawn	71.37	-0.723532124085878	11	Geneva-1
61	Carmel	70.90	-1.18925294227053	14	Mundelein
62	Grayslake North	70.67	-1.21983283839231	15	Mundelein
T-63	Thornton	70.30	-0.881959008009184	12	Geneva-1
T-63	Bloomington	70.30	-1.01730304504669	11	Normal Comm
65	Elk Grove	70.13	-1.29162911624345	16	Mundelein
66	Wheeling	69.90	-1.32220901236523	17	Mundelein
67	Fenwick	69.83	-1.13097534263968	14	Geneva 2
68	Hillcrest	69.07	-1.20118000983838	12	Normal Comm
69	Shepard	69.03	-1.0699983936004	13	Geneva-1
70	Eisenhower	68.33	-1.17364214943807	14	Geneva-1
71	Solorio	66.63	-1.47063007731782	15	Geneva 2
72	Centennial	66.53	-1.58089341680658	14	Normal Comm
73	LaSalle-P	65.77	-1.69450845196242	13	Normal Comm
74	Belvidere	65.40	-1.30372131179942	14	DeKalb
75	Thornwood	65.12	-1.64892280120799	15	Geneva-1
76	Morgan Park	64.60	-1.68609854962926	16	Geneva 2
77	Auburn	64.27	-1.41186279631804	15	DeKalb
78	Little Village	63.73	-1.77844218061988	17	Geneva 2
79	Guilford	62.47	-1.5841235681176	16	DeKalb
80	Jefferson	61.20	-1.70566311266508	17	DeKalb

ALL 2A 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 2A TEAMS RANKED BY THEIR SECTIONAL Z-SCORE

Rank	Team	Z Score at THEIR sectional	Placement	Sectional	Score
1	LW-West*	1.62873132634588	1	Normal Comm	88.00
2	Deerfield*	1.58554024060573	1	Mundelein	91.77
3	Geneva*	1.55123564027175	1	Geneva 2	95.10
4	Hinsdale South*	1.51221175184114	1	Geneva-1	86.47
5	Dunlap*	1.46428851230454	2	Normal Comm	86.90
6	Mundelein*	1.42067471368831	2	Mundelein	90.53
7	Sycamore*	1.31847043670513	1	DeKalb	92.80
8	Lake Zurich*	1.30890039382738	2	DeKalb	92.70
9	Whitney Young*	1.20839664245601	2	Geneva 2	91.87
10	Libertyville*	1.20395631943396	3	Mundelein	88.90
11	Marist*	1.20128048432811	2	Geneva-1	84.37
12	Oak Forest*	1.19091610874434	3	Geneva-1	84.30
13	Argo*	1.18186111630928	3	Geneva 2	91.62
14	Lemont*	1.16574548232662	4	Geneva-1	84.13
15	Crystal Lake Central*	1.01510007748033	3	DeKalb	89.63
16	Hersey*	0.96862407536635	4	Mundelein	87.13
17	Montini*	0.953655591447403	4	Geneva 2	89.47
18	Wauconda*	0.911743614400592	4	DeKalb	88.55
19	Batavia*	0.899232967315453	5	Geneva-1	82.33
20	Grant*	0.894168676113321	5	Mundelein	86.57
21	Cary-G*	0.782548035550916	5	DeKalb	87.20
22	Antioch*	0.738610074102529	6	Mundelein	85.40
23	Pekin*	0.731770522483992	3	Normal Comm	82.00
24	DeKalb*	0.712686722543313	6	DeKalb	86.47
25	Crystal Lake South	0.699288662514457	7	DeKalb	86.33
26	Washington*	0.676457939579176	4	Normal Comm	81.63
27	Fenton*	0.635229277686648	5	Geneva 2	86.47
28	Jones*	0.609755172585787	6	Geneva 2	86.23
29	Lake Forest	0.548482893867117	7	Mundelein	83.97
30	Willowbrook	0.521657225778645	7	Geneva 2	85.40
31	Vernon Hills	0.48200485881977	8	Mundelein	83.47
32	Romeoville*	0.432783587863362	5	Normal Comm	80.00
33	TF South*	0.425432940628933	6	Geneva-1	79.13
34	Hampshire	0.396875307577437	8	DeKalb	83.17
35	Collinsville*	0.323653356726832	6	Normal Comm	79.27
36	Prairie Ridge	0.310744921677652	9	DeKalb	82.27
37	Richards	0.305502308873908	7	Geneva-1	78.32
38	Kenwood	0.21596796456832	8	Geneva 2	82.52
39	Ottawa	0.183129497455136	7	Normal Comm	78.33
40	Benet	0.102656672448741	8	Geneva-1	76.95
41	Crete-M	0.0994131557613595	8	Normal Comm	77.77
42	Glenbard South	0.0939045442933635	9	Geneva 2	81.37
43	Normal West	0.0889486130496375	9	Normal Comm	77.70
44	Reavis	-0.0164832444770317	10	Geneva 2	80.33
45	Freeport	-0.114164982094617	10	DeKalb	77.83
46	Yorkville	-0.135291587915835	10	Normal Comm	76.20
47	Rolling Meadows	-0.174798127448019	9	Mundelein	78.53
48	St Ignatius	-0.212846137962831	11	Geneva 2	78.48
49	Rockford East	-0.244317565232069	11	DeKalb	76.47
50	Hoffman Estates	-0.303066926861712	12	Geneva 2	77.63
51	Riverside-B	-0.373120715889078	13	Geneva 2	76.97
52	Streamwood	-0.401266268427232	12	DeKalb	74.83
53	Maine East	-0.40880081081468	10	Mundelein	76.77
54	TF North	-0.600640242164062	9	Geneva-1	72.20
55	Lakes	-0.63482612997566	11	Mundelein	75.07
56	Belvidere North	-0.691238567623173	13	DeKalb	71.80
57	Bremen	-0.704283998001738	10	Geneva-1	71.50
58	Oak Lawn	-0.723532124085878	11	Geneva-1	71.37
59	Buffalo Grove	-0.777089124976982	12	Mundelein	74.00
60	Grayslake Central	-0.823623749510125	13	Mundelein	73.65
61	Thornton	-0.881959008009184	12	Geneva-1	70.30
62	Bloomington	-1.01730304504669	11	Normal Comm	70.30
63	Shepard	-1.0699983936004	13	Geneva-1	69.03
64	Fenwick	-1.13097534263968	14	Geneva 2	69.83
65	Eisenhower	-1.17364214943807	14	Geneva-1	68.33
66	Carmel	-1.18925294227053	14	Mundelein	70.90
67	Hillcrest	-1.20118000983838	12	Normal Comm	69.07
68	Grayslake North	-1.21983283839231	15	Mundelein	70.67
69	Elk Grove	-1.29162911624345	16	Mundelein	70.13
70	Belvidere	-1.30372131179942	14	DeKalb	65.40
71	Wheeling	-1.32220901236523	17	Mundelein	69.90
72	Auburn	-1.41186279631804	15	DeKalb	64.27
73	Solorio	-1.47063007731782	15	Geneva 2	66.63
74	Centennial	-1.58089341680658	14	Normal Comm	66.53
75	Guilford	-1.5841235681176	16	DeKalb	62.47
76	Thornwood	-1.64892280120799	15	Geneva-1	65.12
77	Morgan Park	-1.68609854962926	16	Geneva 2	64.60
78	LaSalle-P	-1.69450845196242	13	Normal Comm	65.77
79	Jefferson	-1.70566311266508	17	DeKalb	61.20
80	Little Village	-1.77844218061988	17	Geneva 2	63.73

2A QUALIFIERS RANKED BY SCORE

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

2A QUALIFIERS RANKED BY SCORE

Rank	Team	Score	Z Score at THEIR sectional	Placement	Sectional
1	Geneva	95.10	1.55123564027175	1	Geneva 2
2	Sycamore	92.80	1.31847043670513	1	DeKalb
3	Lake Zurich	92.70	1.30890039382738	2	DeKalb
4	Whitney Young	91.87	1.20839664245601	2	Geneva 2
5	Deerfield	91.77	1.58554024060573	1	Mundelein
6	Argo	91.62	1.18186111630928	3	Geneva 2
7	Mundelein	90.53	1.42067471368831	2	Mundelein
8	Crystal Lake Central	89.63	1.01510007748033	3	DeKalb
9	Montini	89.47	0.953655591447403	4	Geneva 2
10	Libertyville	88.90	1.20395631943396	3	Mundelein
11	Wauconda	88.55	0.911743614400592	4	DeKalb
12	LW-West	88.00	1.62873132634588	1	Normal Comm
13	Cary-G	87.20	0.782548035550916	5	DeKalb
14	Hersey	87.13	0.96862407536635	4	Mundelein
15	Dunlap	86.90	1.46428851230454	2	Normal Comm
16	Grant	86.57	0.894168676113321	5	Mundelein
T-17	DeKalb	86.47	0.712686722543313	6	DeKalb
T-17	Hinsdale South	86.47	1.51221175184114	1	Geneva-1
T-17	Fenton	86.47	0.635229277686648	5	Geneva 2
20	Jones	86.23	0.609755172585787	6	Geneva 2
21	Antioch	85.40	0.738610074102529	6	Mundelein
22	Marist	84.37	1.20128048432811	2	Geneva-1
23	Oak Forest	84.30	1.19091610874434	3	Geneva-1
24	Lemont	84.13	1.16574548232662	4	Geneva-1
25	Batavia	82.33	0.899232967315453	5	Geneva-1
26	Pekin	82.00	0.731770522483992	3	Normal Comm
27	Washington	81.63	0.676457939579176	4	Normal Comm
28	Romeoville	80.00	0.432783587863362	5	Normal Comm
29	Collinsville	79.27	0.323653356726832	6	Normal Comm
30	TF South	79.13	0.425432940628933	6	Geneva-1

2A QUALIFIERS RANKED BY Z-SCORE AT THEIR SECTIONAL

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

2A QUALIFIERS RANKED BY Z-SCORE

Rank	Team	Z-Score at THEIR sectional	Placement	Sectional	Score
1	LW-West	1.62873132634588	1	Normal Comm	88.00
2	Deerfield	1.58554024060573	1	Mundelein	91.77
3	Geneva	1.55123564027175	1	Geneva 2	95.10
4	Hinsdale South	1.51221175184114	1	Geneva-1	86.47
5	Dunlap	1.46428851230454	2	Normal Comm	86.90
6	Mundelein	1.42067471368831	2	Mundelein	90.53
7	Sycamore	1.31847043670513	1	DeKalb	92.80
8	Lake Zurich	1.30890039382738	2	DeKalb	92.70
9	Whitney Young	1.20839664245601	2	Geneva 2	91.87
10	Libertyville	1.20395631943396	3	Mundelein	88.90
11	Marist	1.20128048432811	2	Geneva-1	84.37
12	Oak Forest	1.19091610874434	3	Geneva-1	84.30
13	Argo	1.18186111630928	3	Geneva 2	91.62
14	Lemont	1.16574548232662	4	Geneva-1	84.13
15	Crystal Lake Central	1.01510007748033	3	DeKalb	89.63
16	Hersey	0.96862407536635	4	Mundelein	87.13
17	Montini	0.953655591447403	4	Geneva 2	89.47
18	Wauconda	0.911743614400592	4	DeKalb	88.55
19	Batavia	0.899232967315453	5	Geneva-1	82.33
20	Grant	0.894168676113321	5	Mundelein	86.57
21	Cary-G	0.782548035550916	5	DeKalb	87.20
22	Antioch	0.738610074102529	6	Mundelein	85.40
23	Pekin	0.731770522483992	3	Normal Comm	82.00
24	DeKalb	0.712686722543313	6	DeKalb	86.47
25	Washington	0.676457939579176	4	Normal Comm	81.63
26	Fenton	0.635229277686648	5	Geneva 2	86.47
27	Jones	0.609755172585787	6	Geneva 2	86.23
28	Romeoville	0.432783587863362	5	Normal Comm	80.00
29	TF South	0.425432940628933	6	Geneva-1	79.13
30	Collinsville	0.323653356726832	6	Normal Comm	79.27