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:
|   rank in nyagatare sectors , 2012 | sector     |   area in sqkm |   population august 15 , 2012 |   population , august 15 , 2002 |   population change 2002 - 2012 (%) |   population density 2012 (km 2 ) |
|-----------------------------------:|:-----------|---------------:|------------------------------:|--------------------------------:|------------------------------------:|----------------------------------:|
|                                  8 | gatunda    |             52 |                         27879 |                           19716 |                                41.4 |                               535 |
|                                 10 | karama     |             53 |                         26727 |                           19727 |                                35.5 |                               499 |
|                                  2 | karangazi  |            563 |                         56871 |                           21234 |                               167.8 |                               101 |
|                                  4 | katabagemu |             98 |                         34651 |                           22101 |                                56.8 |                               354 |
|                                 14 | kiyombe    |             69 |                         17061 |                           16483 |                                 3.5 |                               247 |
|                                 11 | matimba    |             79 |                         24168 |                           13476 |                                79.3 |                               307 |
|                                  9 | mimuli     |             48 |                         27366 |                           22452 |                                21.9 |                               573 |
|                                 12 | mukama     |             64 |                         21819 |                           17970 |                                21.4 |                               339 |
|                                  7 | musheli    |             96 |                         32403 |                           14742 |                               119.8 |                               338 |
|                                  3 | nyagatare  |            164 |                         52125 |                           19475 |                               167.7 |                               317 |
|                                  5 | rukomo     |             58 |                         34377 |                           20945 |                                64.1 |                               588 |
|                                 13 | rwempasha  |            169 |                         19328 |                           11428 |                                69.1 |                               115 |
|                                  1 | rwimiyaga  |            309 |                         58847 |                           16802 |                               250.2 |                               190 |
|                                  6 | tabagwe    |            106 |                         33322 |                           18533 |                                79.6 |                               313 |

Question:
How much greater is the population density in 2012 of the sector with the highest population density compared to the sector with the lowest population density?


id: 977fbcfd2756614b2cdb69c9f742d8bb
qtype: NumericalReasoning
label: 487