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

你也可以选择在存储过程中这样做:

DROP PROCEDURE IF EXISTS median;
DELIMITER //
CREATE PROCEDURE median (table_name VARCHAR(255), column_name VARCHAR(255), where_clause VARCHAR(255))
BEGIN
  -- Set default parameters
  IF where_clause IS NULL OR where_clause = '' THEN
    SET where_clause = 1;
  END IF;

  -- Prepare statement
  SET @sql = CONCAT(
    "SELECT AVG(middle_values) AS 'median' FROM (
      SELECT t1.", column_name, " AS 'middle_values' FROM
        (
          SELECT @row:=@row+1 as `row`, x.", column_name, "
          FROM ", table_name," AS x, (SELECT @row:=0) AS r
          WHERE ", where_clause, " ORDER BY x.", column_name, "
        ) AS t1,
        (
          SELECT COUNT(*) as 'count'
          FROM ", table_name, " x
          WHERE ", where_clause, "
        ) AS t2
        -- the following condition will return 1 record for odd number sets, or 2 records for even number sets.
        WHERE t1.row >= t2.count/2
          AND t1.row <= ((t2.count/2)+1)) AS t3
    ");

  -- Execute statement
  PREPARE stmt FROM @sql;
  EXECUTE stmt;
END//
DELIMITER ;


-- Sample usage:
-- median(table_name, column_name, where_condition);
CALL median('products', 'price', NULL);

其他回答

我刚刚在网上的评论中找到了另一个答案:

对于几乎所有SQL中的中位数: SELECT x.val from data x, data y GROUP BY x.val 总和(符号(1-SIGN (y.val-x.val))) = (COUNT (*) + 1) / 2

确保列有良好的索引,并且索引用于筛选和排序。与解释计划核对。

select count(*) from table --find the number of rows

计算“中值”行号。可能使用:median_row = floor(count / 2)。

然后把它从列表中挑出来:

select val from table order by val asc limit median_row,1

这将返回您想要的值的一行。

关心奇数的计数-给出中间两个值的平均值。

SELECT AVG(val) FROM
  ( SELECT x.id, x.val from data x, data y
      GROUP BY x.id, x.val
      HAVING SUM(SIGN(1-SIGN(IF(y.val-x.val=0 AND x.id != y.id, SIGN(x.id-y.id), y.val-x.val)))) IN (ROUND((COUNT(*))/2), ROUND((COUNT(*)+1)/2))
  ) sq

这些方法从同一个表中选择两次。如果源数据来自一个昂贵的查询,这是一种避免运行两次的方法:

select KEY_FIELD, AVG(VALUE_FIELD) MEDIAN_VALUE
from (
    select KEY_FIELD, VALUE_FIELD, RANKF
    , @rownumr := IF(@prevrowidr=KEY_FIELD,@rownumr+1,1) RANKR
    , @prevrowidr := KEY_FIELD
    FROM (
        SELECT KEY_FIELD, VALUE_FIELD, RANKF
        FROM (
            SELECT KEY_FIELD, VALUE_FIELD 
            , @rownumf := IF(@prevrowidf=KEY_FIELD,@rownumf+1,1) RANKF
            , @prevrowidf := KEY_FIELD     
            FROM (
                SELECT KEY_FIELD, VALUE_FIELD 
                FROM (
                    -- some expensive query
                )   B
                ORDER BY  KEY_FIELD, VALUE_FIELD
            ) C
            , (SELECT @rownumf := 1) t_rownum
            , (SELECT @prevrowidf := '*') t_previd
        ) D
        ORDER BY  KEY_FIELD, RANKF DESC
    ) E
    , (SELECT @rownumr := 1) t_rownum
    , (SELECT @prevrowidr := '*') t_previd
) F
WHERE RANKF-RANKR BETWEEN -1 and 1
GROUP BY KEY_FIELD

根据魔术贴的答案,对于那些必须根据另一个参数分组的东西做中位数的人来说

SELECT grp_field, t1。val FROM ( SELECT grp_field, @rownum:=IF(@s = grp_field, @rownum + 1,0) AS row_number, @s:=IF(@s = grp_field, @s, grp_field) AS sec, d.val FROM data d, (SELECT @rownum:=0, @s:=0 ORDER BY grp_field, d.val )作为t1 JOIN ( SELECT grp_field, count(*)为total_rows 数据d GROUP BY grp_field )为t2 在t1。Grp_field = t2.grp_field 在t1.row_number =地板(total_rows / 2) + 1;

我有下面的代码,我在HackerRank上找到的,它很简单,适用于每一种情况。

SELECT M.MEDIAN_COL FROM MEDIAN_TABLE M WHERE  
  (SELECT COUNT(MEDIAN_COL) FROM MEDIAN_TABLE WHERE MEDIAN_COL < M.MEDIAN_COL ) = 
  (SELECT COUNT(MEDIAN_COL) FROM MEDIAN_TABLE WHERE MEDIAN_COL > M.MEDIAN_COL );