<?php
$out=array(
1 => array('name'=>'Бананы','count'=>16),
2 => array('name'=>'Груши','count'=>12),
3 => array('name'=>'Яблоки','count'=>1),
4 => array('name'=>'Апельсины','count'=>1),
5 => array('name'=>'Мандарины','count'=>5),
);
$tmp=array();
foreach($out as $item){
     $tmp['name'][]=$item['name'];
     $tmp['count'][]=$item['count'];
}
array_multisort($tmp['count'],SORT_ASC,$out);//,$tmp['sort'],SORT_DESC,$out);
print_r($out);
/*

Array
(
    [0] => Array
        (
            [name] => Апельсины
            [count] => 1
        )

    [1] => Array
        (
            [name] => Яблоки
            [count] => 1
        )

    [2] => Array
        (
            [name] => Мандарины
            [count] => 5
        )

    [3] => Array
        (
            [name] => Груши
            [count] => 12
        )

    [4] => Array
        (
            [name] => Бананы
            [count] => 16
        )

)
*/
?>