在Python中如何找到列表的中值?列表可以是任意大小的,并且数字不保证是任何特定的顺序。

如果列表包含偶数个元素,则函数应返回中间两个元素的平均值。

以下是一些例子(为了便于展示,进行了排序):

median([1]) == 1
median([1, 1]) == 1
median([1, 1, 2, 4]) == 1.5
median([0, 2, 5, 6, 8, 9, 9]) == 6
median([0, 0, 0, 0, 4, 4, 6, 8]) == 2

当前回答

一个返回给定列表中值的简单函数:

def median(lst):
    lst = sorted(lst)  # Sort the list first
    if len(lst) % 2 == 0:  # Checking if the length is even
        # Applying formula which is sum of middle two divided by 2
        return (lst[len(lst) // 2] + lst[(len(lst) - 1) // 2]) / 2
    else:
        # If length is odd then get middle value
        return lst[len(lst) // 2]

一些关于中值函数的例子:

>>> median([9, 12, 20, 21, 34, 80])  # Even
20.5
>>> median([9, 12, 80, 21, 34])  # Odd
21

如果你想使用库,你可以简单地做:

>>> import statistics
>>> statistics.median([9, 12, 20, 21, 34, 80])  # Even
20.5
>>> statistics.median([9, 12, 80, 21, 34])  # Odd
21

其他回答

这里有一个更干净的解决方案:

def median(lst):
    quotient, remainder = divmod(len(lst), 2)
    if remainder:
        return sorted(lst)[quotient]
    return sum(sorted(lst)[quotient - 1:quotient + 1]) / 2.

注:答案更改为在评论中加入建议。

这很简单;

def median(alist):
    #to find median you will have to sort the list first
    sList = sorted(alist)
    first = 0
    last = len(sList)-1
    midpoint = (first + last)//2
    return midpoint

你可以这样使用返回值median = median(anyList)

实现它:

def median(numbers):
    """
    Calculate median of a list numbers.
    :param numbers: the numbers to be calculated.
    :return: median value of numbers.

    >>> median([1, 3, 3, 6, 7, 8, 9])
    6
    >>> median([1, 2, 3, 4, 5, 6, 8, 9])
    4.5
    >>> import statistics
    >>> import random
    >>> numbers = random.sample(range(-50, 50), k=100)
    >>> statistics.median(numbers) == median(numbers)
    True
    """
    numbers = sorted(numbers)
    mid_index = len(numbers) // 2
    return (
        (numbers[mid_index] + numbers[mid_index - 1]) / 2 if mid_index % 2 == 0
        else numbers[mid_index]
    )


if __name__ == "__main__":
    from doctest import testmod

    testmod()

来源

def median(array):
    """Calculate median of the given list.
    """
    # TODO: use statistics.median in Python 3
    array = sorted(array)
    half, odd = divmod(len(array), 2)
    if odd:
        return array[half]
    return (array[half - 1] + array[half]) / 2.0

更普遍的中位数(和百分位数)方法是:

def get_percentile(data, percentile):
    # Get the number of observations
    cnt=len(data)
    # Sort the list
    data=sorted(data)
    # Determine the split point
    i=(cnt-1)*percentile
    # Find the `floor` of the split point
    diff=i-int(i)
    # Return the weighted average of the value above and below the split point
    return data[int(i)]*(1-diff)+data[int(i)+1]*(diff)

# Data
data=[1,2,3,4,5]
# For the median
print(get_percentile(data=data, percentile=.50))
# > 3
print(get_percentile(data=data, percentile=.75))
# > 4

# Note the weighted average difference when an int is not returned by the percentile
print(get_percentile(data=data, percentile=.51))
# > 3.04