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<p> </p> <div align="center"> <table style="background-color: #ffffcc; background-image: none; color: #003300; border-color: #003300; border-width: 4px; float: none; text-align: left; vertical-align: top; border-style: solid; width: 400px;" border="4" frame="void" rules="none"> <tbody> <tr align="center"> <td style="background-color: #003300; background-image: none; color: #ff9900; text-align: center; vertical-align: middle; border-style: none;" valign="top" width="NaNpx"><span style="font-size: large; color: #ffff99;">Mitjana</span></td> </tr> <tr> <td style="text-align: justify;" valign="top" width="NaNpx"><span style="color: #003300;"><strong><span style="font-size: small;">Si tenim poques dades, el més fàcil és sumar els diferents valors de la variable x<sub>i</sub> i dividir aquesta suma pel nombre d'elements de la població.</span></strong></span><br /><br /><span style="color: #003300;"><strong><span style="font-size: small;">Si el nombre de dades és més elevat, la mitjana es calcula amb l'expressió:</span></strong></span><br /> <div align="center"><strong><span class="nolink" style="font-size: small;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover mathcolor=¨#003300¨»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»§#175;«/mo»«/mover»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«munderover mathcolor=¨#003300¨»«mo mathvariant=¨bold¨»§#8721;«/mo»«mrow»«mi mathvariant=¨bold¨»i«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mi mathvariant=¨bold¨»j«/mi»«/munderover»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»x«/mi»«mi mathvariant=¨bold¨»i«/mi»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#183;«/mo»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»f«/mi»«mi mathvariant=¨bold¨»i«/mi»«/msub»«/math»</span></strong><br /> <div align="justify"><span style="font-size: small;"><em>Si x<sub>i</sub> són els valors que pren la variable, f<sub>i</sub> la freqüència relativa de cada un d'aquests valors i j el nombre de valors que pren la variable. </em></span><span style="font-size: small;"><em>El més pràctic és emprar una taula de freqüències:</em></span><br /> <table style="background-color: #ffffcc; background-image: url('http://lcmates.eu/none'); color: #660066; border-color: #003300; border-width: 4px; float: none; text-align: center; vertical-align: middle; border-style: solid; width: 396px; height: 105px;" border="4" frame="void" rules="none"> <tbody> <tr> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">x<sub>i</sub></span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">n<sub>i</sub></span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">f<sub>i</sub></span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em>x<sub>i</sub>·f<sub>i</sub></em></span></td> </tr> <tr> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">3</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">12</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">0,6</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em>1,8</em></span></td> </tr> <tr> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">4</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">6</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">0,3</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em>1,2</em></span></td> </tr> <tr> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">5</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">2</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">0,1</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em>0,5</em></span></td> </tr> <tr> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">Total</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">20</span></em></span></td> <td valign="top" width="NaNpx"><span style="color: #003300;"><em><span style="font-size: small;">1</span></em></span></td> <td style="background-color: #003300; background-image: url('http://lcmates.eu/none'); color: #ffcc00; text-align: center; vertical-align: middle; border-style: none; width: 25%;" valign="top"><span style="font-size: large;"><strong>3,5</strong></span></td> </tr> </tbody> </table> <em><span style="font-size: small;">i completar-la fins a trobar la mitjana, 3,5.</span></em></div> </div> </td> </tr> </tbody> </table> </div>
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