用MySQL计算中位数最简单(希望不会太慢)的方法是什么?我已经使用AVG(x)来寻找平均值,但我很难找到一个简单的方法来计算中位数。现在,我将所有的行返回到PHP,进行排序,然后选择中间的行,但是肯定有一些简单的方法可以在一个MySQL查询中完成它。

示例数据:

id | val
--------
 1    4
 2    7
 3    2
 4    2
 5    9
 6    8
 7    3

对val排序得到2 2 3 4 7 8 9,因此中位数应该是4,而SELECT AVG(val) == 5。


当前回答

因为我只需要一个中位数和百分位数的解决方案,我根据这个线程中的发现做了一个简单而相当灵活的函数。我知道,如果我发现“现成的”功能很容易包含在我的项目中,我自己会很高兴,所以我决定快速分享:

function mysql_percentile($table, $column, $where, $percentile = 0.5) {

    $sql = "
            SELECT `t1`.`".$column."` as `percentile` FROM (
            SELECT @rownum:=@rownum+1 as `row_number`, `d`.`".$column."`
              FROM `".$table."` `d`,  (SELECT @rownum:=0) `r`
              ".$where."
              ORDER BY `d`.`".$column."`
            ) as `t1`, 
            (
              SELECT count(*) as `total_rows`
              FROM `".$table."` `d`
              ".$where."
            ) as `t2`
            WHERE 1
            AND `t1`.`row_number`=floor(`total_rows` * ".$percentile.")+1;
        ";

    $result = sql($sql, 1);

    if (!empty($result)) {
        return $result['percentile'];       
    } else {
        return 0;
    }

}

使用非常简单,例子来自我目前的项目:

...
$table = DBPRE."zip_".$slug;
$column = 'seconds';
$where = "WHERE `reached` = '1' AND `time` >= '".$start_time."'";

    $reaching['median'] = mysql_percentile($table, $column, $where, 0.5);
    $reaching['percentile25'] = mysql_percentile($table, $column, $where, 0.25);
    $reaching['percentile75'] = mysql_percentile($table, $column, $where, 0.75);
...

其他回答

按维度分组的中位数:

SELECT your_dimension, avg(t1.val) as median_val FROM (
SELECT @rownum:=@rownum+1 AS `row_number`,
   IF(@dim <> d.your_dimension, @rownum := 0, NULL),
   @dim := d.your_dimension AS your_dimension,
   d.val
   FROM data d,  (SELECT @rownum:=0) r, (SELECT @dim := 'something_unreal') d
  WHERE 1
  -- put some where clause here
  ORDER BY d.your_dimension, d.val
) as t1
INNER JOIN  
(
  SELECT d.your_dimension,
    count(*) as total_rows
  FROM data d
  WHERE 1
  -- put same where clause here
  GROUP BY d.your_dimension
) as t2 USING(your_dimension)
WHERE 1
AND t1.row_number in ( floor((total_rows+1)/2), floor((total_rows+2)/2) )

GROUP BY your_dimension;

如果MySQL有ROW_NUMBER,那么MEDIAN是(受SQL Server查询的启发):

WITH Numbered AS 
(
SELECT *, COUNT(*) OVER () AS Cnt,
    ROW_NUMBER() OVER (ORDER BY val) AS RowNum
FROM yourtable
)
SELECT id, val
FROM Numbered
WHERE RowNum IN ((Cnt+1)/2, (Cnt+2)/2)
;

如果您有偶数个条目,则使用IN。

如果你想找到每个组的中位数,那么只需要在你的OVER子句中PARTITION BY组。

Rob

我建议一个更快的方法。

获取行数:

SELECT CEIL(COUNT(*)/2);

然后取排序子查询的中间值:

SELECT max(val) FROM (SELECT val FROM data ORDER BY val limit @middlevalue);

我用5x10e6的随机数数据集进行了测试,它将在10秒内找到中位数。

来自: http://mdb-blog.blogspot.com/2015/06/mysql-find-median-nth-element-without.html

我建议另一种方法,不用连接, 但是处理字符串

我没有用大数据表来检验, 但是中小型的桌子就可以了。

这里的好处是,它也可以通过GROUPING工作,所以它可以返回几个项目的中值。

下面是测试表的测试代码:

DROP TABLE test.test_median
CREATE TABLE test.test_median AS
SELECT 'book' AS grp, 4 AS val UNION ALL
SELECT 'book', 7 UNION ALL
SELECT 'book', 2 UNION ALL
SELECT 'book', 2 UNION ALL
SELECT 'book', 9 UNION ALL
SELECT 'book', 8 UNION ALL
SELECT 'book', 3 UNION ALL

SELECT 'note', 11 UNION ALL

SELECT 'bike', 22 UNION ALL
SELECT 'bike', 26 

求每组中位数的代码:

SELECT grp,
         SUBSTRING_INDEX( SUBSTRING_INDEX( GROUP_CONCAT(val ORDER BY val), ',', COUNT(*)/2 ), ',', -1) as the_median,
         GROUP_CONCAT(val ORDER BY val) as all_vals_for_debug
FROM test.test_median
GROUP BY grp

输出:

grp | the_median| all_vals_for_debug
bike| 22        | 22,26
book| 4         | 2,2,3,4,7,8,9
note| 11        | 11

试着这样做:

SELECT  
CAST (AVG(val) AS DECIMAL(10,4))
FROM
(
    SELECT 
    val,
    ROW_NUMBER() OVER( ORDER BY val ) -1 AS rn,
    COUNT(1) OVER () -1 AS cnt
    FROM STATION
) as tmp
WHERE rn IN (FLOOR(cnt/2),CEILING (cnt/2))

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注意:-1的原因是使它的索引为0 .i。E行号 现在从0开始,而不是1

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