Table:
text: List of schools in the Waikato Region
Waitomo District
Waitomo District
Name_ Years Gender Area Authority Decile Roll
Aria School 1–6 Coed Aria State 5 55
Benneydale School 1–8 Coed Benneydale State 1 14
Centennial Park School 1–8 Coed Te Kuiti State 1 113
Kinohaku School 1–8 Coed Te Kuiti State 4 32
Mapiu School 1–8 Coed Mapiu State 4 9
Mokau School 1–8 Coed Mokau State 3 24
Piopio College 7–15 Coed Piopio State 4 202
Piopio Primary School 1–6 Coed Piopio State 5 129
Piri Piri School 1–8 Coed Te Kuiti State 4 22
Pukenui School 1–8 Coed Te Kuiti State 2 186
Rangitoto School 1–8 Coed Rangitoto State 6 40

text: List of schools in the Waikato Region
Waitomo District
Waitomo District
Name_ Years Gender Area Authority Decile Roll
St Joseph`s Catholic School 1–8 Coed Te Kuiti State integrated 4 102
Te Kuiti High School 9–15 Coed Te Kuiti State 3 321
Te Kuiti Primary School 1–8 Coed Te Kuiti State 2 356
Te Kura o Tahaaroa 1–8 Coed Te Kuiti State 3 38
Te Wharekura o Maniapoto 1–15 Coed Te Kuiti State 2 96
Waitomo Caves School 1–8 Coed Waitomo Caves State 5 44
Whareorino School 1–8 Coed Mokau State 5 10

Question: Among the Waitomo District School list of Waitomo schools and the list of schools in the Waikato area, which years have a decile of 4, a state authority and a Mapiu school name?

Question: What is the average decile with a state agency and a Mapiu school name among a list of schools in the Waitomo District of the Waikato Region?