Drupal 7 theme function to update the jQuery version used by the website, strongly recommended to restrict this to specific URLs, it will create issues in the default administration theme. More info: http://oldwildissue.wordpress.com/2012/11/19/drupal-7-manually-update-jquery-version/

template.php

<?php

function yourtheme_js_alter(&$javascript) {
 [...]your stuffs[...]

 $jquery_new = drupal_get_path('theme','yourtheme') . '/js/jquery-1.10.2.min.js';
 $javascript[$jquery_new] = $javascript['misc/jquery.js'];
 $javascript[$jquery_new]['version'] = '1.10.2';
 $javascript[$jquery_new]['data'] = $jquery_new;

 unset($javascript['misc/jquery.js']);

 [...]your other stuffs[...]
}