Table:
text: List of schools in the Otago Region
Central Otago District
Central Otago District
Name_ Years Gender Area Authority Decile Roll
St Gerard`s School 1–8 Coed Alexandra State integrated 9 116
St John`s School 1–8 Coed Ranfurly State integrated 7 55
Tarras School 1–8 Coed Tarras State 10 16
The Terrace School 1–8 Coed Alexandra State 8 388

text: List of schools in the Otago Region
Central Otago District
Central Otago District
Name_ Years Gender Area Authority Decile Roll
Alexandra School 1–8 Coed Alexandra State 8 194
Clyde School 1–8 Coed Clyde State 9 127
Cromwell College 7–15 Coed Cromwell State 8 390
Cromwell Primary School 1–6 Coed Cromwell State 8 225
Dunstan High School 9–15 Coed Alexandra State 9 513
Goldfields School 1–6 Coed Cromwell State 7 225
Maniototo Area School 1–15 Coed Ranfurly State 7 170
Millers Flat School 1–8 Coed Millers Flat State 7 32
Omakau School 1–8 Coed Omakau State 8 34
Poolburn School 1–8 Coed Oturehua State 10 35
Roxburgh Area School 1–15 Coed Roxburgh State 4 166

Question: What is the highest decile of the Tarras school that had state authority in the list of schools in the Central Otago District of the Otago Region?