The data is in a script tag. You can get the script tag using bs4 and a regex. You could also extract the data using a regex but I like using /js2xml to parse js functions into a xml tree:
from bs4 import BeautifulSoup
import requests
import re
import js2xml
soup = BeautifulSoup(requests.get("http://www.worldweatheronline.com/brussels-weather-averages/be.aspx").content, "html.parser")
script = soup.find("script", text=re.compile("Highcharts.Chart")).text
# script = soup.find("script", text=re.compile("precipchartcontainer")).text if you want precipitation data
parsed = js2xml.parse(script)
print js2xml.pretty_print(parsed)
That gives you:
<program>
<functioncall>
<function>
<identifier name="$"/>
</function>
<arguments>
<funcexpr>
<identifier/>
<parameters/>
<body>
<var name="chart"/>
<functioncall>
<function>
<dotaccessor>
<object>
<functioncall>
<function>
<identifier name="$"/>
</function>
<arguments>
<identifier name="document"/>
</arguments>
</functioncall>
</object>
<property>
<identifier name="ready"/>
</property>
</dotaccessor>
</function>
<arguments>
<funcexpr>
<identifier/>
<parameters/>
<body>
<assign operator="=">
<left>
<identifier name="chart"/>
</left>
<right>
<new>
<dotaccessor>
<object>
<identifier name="Highcharts"/>
</object>
<property>
<identifier name="Chart"/>
</property>
</dotaccessor>
<arguments>
<object>
<property name="chart">
<object>
<property name="renderTo">
<string>tempchartcontainer</string>
</property>
<property name="type">
<string>spline</string>
</property>
</object>
</property>
<property name="credits">
<object>
<property name="enabled">
<boolean>false</boolean>
</property>
</object>
</property>
<property name="colors">
<array>
<string>#FF8533</string>
<string>#4572A7</string>
</array>
</property>
<property name="title">
<object>
<property name="text">
<string>Average Temperature (°c) Graph for Brussels</string>
</property>
</object>
</property>
<property name="xAxis">
<object>
<property name="categories">
<array>
<string>January</string>
<string>February</string>
<string>March</string>
<string>April</string>
<string>May</string>
<string>June</string>
<string>July</string>
<string>August</string>
<string>September</string>
<string>October</string>
<string>November</string>
<string>December</string>
</array>
</property>
<property name="labels">
<object>
<property name="rotation">
<number value="270"/>
</property>
<property name="y">
<number value="40"/>
</property>
</object>
</property>
</object>
</property>
<property name="yAxis">
<object>
<property name="title">
<object>
<property name="text">
<string>Temperature (°c)</string>
</property>
</object>
</property>
</object>
</property>
<property name="tooltip">
<object>
<property name="enabled">
<boolean>true</boolean>
</property>
</object>
</property>
<property name="plotOptions">
<object>
<property name="spline">
<object>
<property name="dataLabels">
<object>
<property name="enabled">
<boolean>true</boolean>
</property>
</object>
</property>
<property name="enableMouseTracking">
<boolean>false</boolean>
</property>
</object>
</property>
</object>
</property>
<property name="series">
<array>
<object>
<property name="name">
<string>Average High Temp (°c)</string>
</property>
<property name="color">
<string>#FF8533</string>
</property>
<property name="data">
<array>
<number value="6"/>
<number value="8"/>
<number value="11"/>
<number value="14"/>
<number value="19"/>
<number value="21"/>
<number value="23"/>
<number value="23"/>
<number value="19"/>
<number value="15"/>
<number value="9"/>
<number value="6"/>
</array>
</property>
</object>
<object>
<property name="name">
<string>Average Low Temp (°c)</string>
</property>
<property name="color">
<string>#4572A7</string>
</property>
<property name="data">
<array>
<number value="2"/>
<number value="2"/>
<number value="4"/>
<number value="6"/>
<number value="10"/>
<number value="12"/>
<number value="14"/>
<number value="14"/>
<number value="11"/>
<number value="8"/>
<number value="5"/>
<number value="2"/>
</array>
</property>
</object>
</array>
</property>
</object>
</arguments>
</new>
</right>
</assign>
</body>
</funcexpr>
</arguments>
</functioncall>
</body>
</funcexpr>
</arguments>
</functioncall>
</program>
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