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

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))

**

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

**

其他回答

这是我的办法。当然,你可以把它放到一个过程中:-)

SET @median_counter = (SELECT FLOOR(COUNT(*)/2) - 1 AS `median_counter` FROM `data`);

SET @median = CONCAT('SELECT `val` FROM `data` ORDER BY `val` LIMIT ', @median_counter, ', 1');

PREPARE median FROM @median;

EXECUTE median;

你可以避免变量@median_counter,如果你替换它:

SET @median = CONCAT( 'SELECT `val` FROM `data` ORDER BY `val` LIMIT ',
                      (SELECT FLOOR(COUNT(*)/2) - 1 AS `median_counter` FROM `data`),
                      ', 1'
                    );

PREPARE median FROM @median;

EXECUTE median;

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);
...

我有一个包含大约10亿行的数据库,我们需要它来确定集合中的年龄中位数。对十亿行进行排序是困难的,但如果你将可以找到的不同值(年龄范围从0到100)聚合在一起,你可以对这个列表进行排序,并使用一些算术魔术来找到你想要的任何百分位数,如下所示:

with rawData(count_value) as
(
    select p.YEAR_OF_BIRTH
        from dbo.PERSON p
),
overallStats (avg_value, stdev_value, min_value, max_value, total) as
(
  select avg(1.0 * count_value) as avg_value,
    stdev(count_value) as stdev_value,
    min(count_value) as min_value,
    max(count_value) as max_value,
    count(*) as total
  from rawData
),
aggData (count_value, total, accumulated) as
(
  select count_value, 
    count(*) as total, 
        SUM(count(*)) OVER (ORDER BY count_value ROWS UNBOUNDED PRECEDING) as accumulated
  FROM rawData
  group by count_value
)
select o.total as count_value,
  o.min_value,
    o.max_value,
    o.avg_value,
    o.stdev_value,
    MIN(case when d.accumulated >= .50 * o.total then count_value else o.max_value end) as median_value,
    MIN(case when d.accumulated >= .10 * o.total then count_value else o.max_value end) as p10_value,
    MIN(case when d.accumulated >= .25 * o.total then count_value else o.max_value end) as p25_value,
    MIN(case when d.accumulated >= .75 * o.total then count_value else o.max_value end) as p75_value,
    MIN(case when d.accumulated >= .90 * o.total then count_value else o.max_value end) as p90_value
from aggData d
cross apply overallStats o
GROUP BY o.total, o.min_value, o.max_value, o.avg_value, o.stdev_value
;

这个查询取决于你的db支持窗口函数(包括ROWS UNBOUNDED precede),但如果你没有,这是一个简单的事情,将aggData CTE与自身连接,并将所有先前的总数聚合到' cumulative '列,用于确定哪个值包含指定的预分词。上面的示例计算p10、p25、p50(中位数)、p75和p90。

屁股的

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))

**

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

**

下面的查询对于奇数行和偶数行都非常有效。在子查询中,我们正在寻找前后行数相同的值。对于奇数行的情况,having子句的值将为0(前后相同的行数将抵消符号)。

类似地,对于偶数行,having子句对于两行(中间的两行)的计算结果为1,因为它们(总的来说)前后的行数相同。

在外层查询中,我们将平均出单个值(奇数行)或(偶数行2个值)。

select avg(val) as median
from
(
    select d1.val
    from data d1 cross join data d2
    group by d1.val
    having abs(sum(sign(d1.val-d2.val))) in (0,1)
) sub

注意:如果你的表有重复的值,上面的having子句应该更改为下面的条件。在这种情况下,可能有一些值超出了原来的可能性(0,1)下面的条件将使这个条件动态,并在重复的情况下工作。

having sum(case when d1.val=d2.val then 1 else 0 end)>=
abs(sum(sign(d1.val-d2.val)))