To solve this task, we'll categorize cities in New Zealand into groups based on their population. We'll order the cities from north to south within each group.
[tex]\[
\text{Group 1: Population: 30,000-79,999}
\][/tex]
- Whangarei (Northland)
- Rotorua (Bay of Plenty)
- Gisborne (Gisborne)
[tex]\[
\text{Group 2: Population: 80,000-199,999}
\][/tex]
- Tauranga (Bay of Plenty)
- Dunedin (Otago)
[tex]\[
\text{Group 3: Population: 200,000-1,000,000}
\][/tex]
- Hamilton (Waikato)
- Christchurch (Canterbury)
- Wellington (Wellington)
[tex]\[
\text{Group 4: Population: Below 30,000 or above 1,000,000}
\][/tex]
Considering no specific cities are mentioned for this population bracket in the provided data, we assume there are no cities in this group for now.
The above lists should be verified with up-to-date demographic data.
In summary:
[tex]\[
\begin{array}{|l|l|}
\hline
\text{GROUP1} & \text{GROUP2} & \text{GROUP3} \\
\text{Whangarei, Rotorua, Gisborne} & \text{Tauranga, Dunedin} & \text{Hamilton, Christchurch, Wellington} \\
\hline
\end{array}
\][/tex]