Task: Table-QA (source dataset: TableBench)

Task: 
You are given a table containing structured data and a natural language question referring to the table. Your goal is to analyze the table and provide an accurate and concise answer based on the given data.

Instructions:
1. Understand the Table: Examine the structure, headers, and data in the table. Identify relevant columns and rows related to the question.
2. Interpret the Question: Determine whether the question requires direct retrieval, aggregation, comparison, sorting, filtering, or inference.
3. Extract the Answer: Use logical reasoning and numerical operations (if necessary) to derive the correct response from the table.
4. Format the Answer: No explanation, return the answer in a structured JSON format: {"answer": <answer>}. If the question cannot be answered due to missing or ambiguous data, return a JSON response with {"answer": null}.

Table:
|   inegi code | municipality        | municipal seat        |   area (km 2 ) |   population (2005) |   population density ( / km 2 ) |   human development index (2000) |
|-------------:|:--------------------|:----------------------|---------------:|--------------------:|--------------------------------:|---------------------------------:|
|            1 | amealco de bonfil   | amealco               |         682.1  |               56457 |                            82.8 |                           0.6803 |
|            2 | pinal de amoles     | pinal de amoles       |         705.37 |               25325 |                            35.9 |                           0.6659 |
|            3 | arroyo seco         | arroyo seco           |         731.17 |               12493 |                            17.1 |                           0.7029 |
|            4 | cadereyta de montes | cadereyta             |        1131    |               57204 |                            50.6 |                           0.7074 |
|            5 | colón               | colón                 |         807.15 |               51625 |                            64   |                           0.7036 |
|            6 | corregidora         | el pueblito           |         245.8  |              104218 |                           424   |                           0.8535 |
|            7 | ezequiel montes     | ezequiel montes       |         298.28 |               34729 |                           116.4 |                           0.7534 |
|            8 | huimilpan           | huimilpan             |         388.4  |               32728 |                            84.3 |                           0.6824 |
|            9 | jalpan de serra     | jalpan                |        1185.1  |               22025 |                            18.6 |                           0.7178 |
|           10 | landa de matamoros  | landa de matamoros    |         840.1  |               18905 |                            22.5 |                           0.6606 |
|           11 | el marqués          | la cañada             |         787.4  |               79743 |                           101.3 |                           0.7295 |
|           12 | pedro escobedo      | pedro escobedo        |         290.9  |               17007 |                            58.5 |                           0.7598 |
|           13 | peñamiller          | peñamiller            |         694.9  |               56553 |                            81.4 |                           0.7023 |
|           14 | querétaro           | santiago de querétaro |         759.9  |              734139 |                           966.1 |                           0.856  |
|           15 | san joaquín         | san joaquín           |         499    |                7634 |                            15.3 |                           0.6593 |
|           16 | san juan del río    | san juan del río      |         799.9  |              208462 |                           260.6 |                           0.8035 |
|           17 | tequisquiapan       | tequisquiapan         |         343.6  |               54929 |                           159.9 |                           0.7827 |

Question:
What is the average population density of all municipalities in the table?


id: 767d183aa02457793092c2e983eeb612
qtype: NumericalReasoning
label: 150.54