2015

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	2173945	2398	-	2436	=	-38	*	(49	/	303)	=	-6.1452145
4	2173948	2437	-	2485	=	-48	*	(61	/	303)	=	-9.66336634
5	2173949	2470	-	2528	=	-58	*	(57	/	303)	=	-10.91089104
6	2173952	2463	-	2552	=	-89	*	(45	/	303)	=	-13.21782174
7	2173953	2538	-	2567	=	-29	*	(49	/	303)	=	-4.68976896
8	2173956	2524	-	2586	=	-62	*	(38	/	303)	=	-7.77557754
11	2173957	0	-	2628	=		*	(4	/	303)	=
Step 4	SUM Weighted Distance From Standard to get 2015 Difference From Standard for Harbor Springs Charter											-52

2016

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	66741	2404	-	2436	=	-32	*	(75	/	446)	=	-5.38116589
4	66744	2430	-	2485	=	-55	*	(76	/	446)	=	-9.37219729
5	66746	2484	-	2528	=	-44	*	(83	/	446)	=	-8.18834078
6	66748	2469	-	2552	=	-83	*	(73	/	446)	=	-13.58520179
7	66750	2525	-	2567	=	-42	*	(77	/	446)	=	-7.25112104
8	66751	2554	-	2586	=	-32	*	(53	/	446)	=	-3.80269056
11	66753	0	-	2628	=		*	(9	/	446)	=
Step 4	SUM Weighted Distance From Standard to get 2016 Difference From Standard for Harbor Springs Charter											-48

2017

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	68575	2384	-	2436	=	-52	*	(56	/	441)	=	-6.60317455
4	68576	2426	-	2485	=	-59	*	(57	/	441)	=	-7.6258503
5	68579	2461	-	2528	=	-67	*	(76	/	441)	=	-11.5464852
6	68580	2475	-	2552	=	-77	*	(81	/	441)	=	-14.14285711
7	68583	2481	-	2567	=	-86	*	(88	/	441)	=	-17.16099771
8	68585	2518	-	2586	=	-68	*	(76	/	441)	=	-11.7188208
11	68586	0	-	2628	=		*	(0	/	441)	=
Step 4	SUM Weighted Distance From Standard to get 2017 Difference From Standard for Harbor Springs Charter											-69

2018

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	68728	2405	-	2436	=	-31	*	(48	/	469)	=	-3.17270787
4	68730	2438	-	2485	=	-47	*	(71	/	469)	=	-7.11513857
5	68732	2473	-	2528	=	-55	*	(74	/	469)	=	-8.67803833
6	68734	2515	-	2552	=	-37	*	(88	/	469)	=	-6.94243069
7	68736	2501	-	2567	=	-66	*	(91	/	469)	=	-12.8059701
8	68738	2515	-	2586	=	-71	*	(90	/	469)	=	-13.62473343
11	68740	0	-	2628	=		*	(0	/	469)	=
Step 4	SUM Weighted Distance From Standard to get 2018 Difference From Standard for Harbor Springs Charter											-52

2019

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	69247	2384	-	2436	=	-52	*	(25	/	147)	=	-8.8435374
4	69248	2430	-	2485	=	-55	*	(18	/	147)	=	-6.73469385
5	69249	2435	-	2528	=	-93	*	(29	/	147)	=	-18.34693872
6	69250	2442	-	2552	=	-110	*	(28	/	147)	=	-20.9523809
7	69251	2469	-	2567	=	-98	*	(15	/	147)	=	-9.99999997
8	69252	2458	-	2586	=	-128	*	(22	/	147)	=	-19.15646246
11	69253	0	-	2628	=		*	(10	/	147)	=
Step 4	SUM Weighted Distance From Standard to get 2019 Difference From Standard for Harbor Springs Charter											-84

Last steps

Compute the average

2015	2016	2017	2018	2019	Sum	Average
-52	-48	-69	-52	-84	-305.0	-61.0

Compute the Upper Control Limit

Simply compute the standard deviation and multiply by 3 and add to the average:

Compute the Lower Control Limit

Simply compute the standard deviation and multiply by 3 and subtract from the average:

For the lines, you have the data necessary to plot the chart.

Very last step

The percent of students getting a Free or Reduced Price Meal comes from the following sources:

	2015	2016	2017	2018	2019
Percent	49%	46%	47%	53%	54%
Data source	2015 data file	2016 data file	2017 data file	2018 data file	2019 data file