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 
11 
1263896 
2654 
 
2628 
= 
26 
* 
(832 
/ 
832) 
= 
26.0 
Step 4 
SUM Weighted Distance From Standard to get
2015 Difference From Standard for Tamalpais Union High

26 
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 
11 
39406 
2631 
 
2628 
= 
3 
* 
(892 
/ 
892) 
= 
3.0 
Step 4 
SUM Weighted Distance From Standard to get
2016 Difference From Standard for Tamalpais Union High

3 
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 
11 
40422 
2644 
 
2628 
= 
16 
* 
(1032 
/ 
1032) 
= 
16.0 
Step 4 
SUM Weighted Distance From Standard to get
2017 Difference From Standard for Tamalpais Union High

16 
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 
11 
40439 
2635 
 
2628 
= 
7 
* 
(1160 
/ 
1160) 
= 
7.0 
Step 4 
SUM Weighted Distance From Standard to get
2018 Difference From Standard for Tamalpais Union High

7 
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 
11 
40582 
2646 
 
2628 
= 
18 
* 
(1150 
/ 
1150) 
= 
18.0 
Step 4 
SUM Weighted Distance From Standard to get
2019 Difference From Standard for Tamalpais Union High

18 
Last steps
Compute the average
2015 
2016 
2017 
2018 
2019 
Sum 
Average 
26

3

16

7

18

70.0 
14.0 
Compute the Upper Control Limit
Simply compute the standard deviation and multiply by 3 and add to the average: 41.0
Compute the Lower Control Limit
Simply compute the standard deviation and multiply by 3 and subtract from the average: 13.0
For the lines, you have the data necessary to plot the chart.