<p>You’re given a table that represents search results from searches on Facebook. The <code>query</code> column is the search term, the <code>position</code> column represents each position the search result came in, and the <code>rating</code> column represents the human rating of the search result from 1 to 5 where 5 is high relevance and 1 is low relevance.</p>

<p><strong>Example:</strong></p>

<p><strong>Input:</strong></p>

<p><code>search_results</code> table</p>

<table>
<thead>
<tr>
<th>Column</th>
<th>Type</th>
</tr>
</thead>

<tbody>
<tr>
<td><code>query</code></td>
<td>VARCHAR</td>
</tr>

<tr>
<td><code>result_id</code></td>
<td>INTEGER</td>
</tr>

<tr>
<td><code>position</code></td>
<td>INTEGER</td>
</tr>

<tr>
<td><code>rating</code></td>
<td>INTEGER</td>
</tr>
</tbody>
</table>
<p>You want to be able to compute a metric that measures the precision of the ranking system based on position. For example, if the results for dog and cat are…</p>

<table>
<thead>
<tr>
<th>query</th>
<th>result_id</th>
<th>position</th>
<th>rating</th>
<th>notes</th>
</tr>
</thead>

<tbody>
<tr>
<td>dog</td>
<td>1000</td>
<td>1</td>
<td>2</td>
<td>picture of hotdog</td>
</tr>

<tr>
<td>dog</td>
<td>998</td>
<td>2</td>
<td>4</td>
<td>dog walking</td>
</tr>

<tr>
<td>dog</td>
<td>342</td>
<td>3</td>
<td>1</td>
<td>zebra</td>
</tr>

<tr>
<td>cat</td>
<td>123</td>
<td>1</td>
<td>4</td>
<td>picture of cat</td>
</tr>

<tr>
<td>cat</td>
<td>435</td>
<td>2</td>
<td>2</td>
<td>cat memes</td>
</tr>

<tr>
<td>cat</td>
<td>545</td>
<td>3</td>
<td>1</td>
<td>pizza shops</td>
</tr>
</tbody>
</table>
<p>…we would rank ‘cat’ as having a better search result ranking precision than ‘dog’ based on the correct sorting by rating.</p>

<p>Write a query to create a metric that can validate and rank the queries by their search result precision. Round the metric (avg_rating column) to 2 decimal places.</p>

<p><strong>Output:</strong></p>

<table>
<thead>
<tr>
<th>Column</th>
<th>Type</th>
</tr>
</thead>

<tbody>
<tr>
<td>query</td>
<td>VARCHAR</td>
</tr>

<tr>
<td>avg_rating</td>
<td>FLOAT</td>
</tr>
</tbody>
</table>


<p>Let’s say you want to create a metric that is proportional to field A and inversely proportional to field B. Which of the following metrics would fit these criteria?</p>


Let's say you want to create a metric that is proportional to field A and inversely proportional to field B. Which of the following metrics would fit these criteria?

Weighted Average Metric

Write a query to create a metric that can validate and rank the queries by their search result precision.

Search Ratings

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