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How do I find the arithmetic mean of a list in Python? For example:

[1, 2, 3, 4] ⟶ 2.5 
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  • 12
    sum(L) / float(len(L)). handle empty lists in caller code like if not L: ... Commented Nov 2, 2015 at 12:12
  • duplicate: stackoverflow.com/questions/7716331 Commented Nov 2, 2015 at 12:15
  • 7
    @mitch: it's not a matter of whether you can afford installing numpy. numpy is a whole word in itself. It's whether you actually need numpy. Installing numpy, a 16mb C extension, for mean calculating would be, well, very impractical, for someone not using it for other things. Commented Nov 2, 2015 at 12:15
  • 4
    instead of installing the whole numpy package for just avg/mean if using python 3 we can get this thing done using statistic module just by "from statistic import mean" or if on python 2.7 or less, the statistic module can be downloaded from src: hg.python.org/cpython/file/default/Lib/statistics.py doc: docs.python.org/dev/library/statistics.html and directly used. Commented Jul 18, 2016 at 4:48
  • 3
    Possible duplicate of Calculating arithmetic mean (average) in Python Commented May 23, 2017 at 16:21

24 Answers 24

912

For Python 3.8+, use statistics.fmean for numerical stability with floats. (Fast.)

For Python 3.4+, use statistics.mean for numerical stability with floats. (Slower.)

xs = [15, 18, 2, 36, 12, 78, 5, 6, 9] import statistics statistics.mean(xs) # = 20.11111111111111 

For older versions of Python 3, use

sum(xs) / len(xs) 

For Python 2, convert len to a float to get float division:

sum(xs) / float(len(xs)) 
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8 Comments

as i said, i'm new to this, i was thinking i'd have to make it with a loop or something to count the amount of numbers in it, i didn't realise i could just use the length. this is the first thing i've done with python..
what if the sum is a massive number that wont fit in int/float ?
@FooBarUser then you should calc k = 1.0/len(l), and then reduce: reduce(lambda x, y: x + y * k, l)
downvoted because I cannot see why reduce and lambda should be on the top of a question about avarage calculation
He should really be using sum though, as guido says to try really hard to avoid reduce
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610
xs = [15, 18, 2, 36, 12, 78, 5, 6, 9] sum(xs) / len(xs) 

3 Comments

As a C++ programmer, that is neat as hell and float is not ugly at all!
If you want to reduce some numbers after decimal point. This might come in handy: float('%.2f' % float(sum(l) / len(l)))
@Steinfeld I don't think conversion to string is the best way to go here. You can achieve the same in a cleaner way with round(result, 2).
329

Use numpy.mean:

xs = [15, 18, 2, 36, 12, 78, 5, 6, 9] import numpy as np print(np.mean(xs)) 

5 Comments

That's strange. I would have assumed this would be much more efficient, but it appears to take 8 times as long on a random list of floats than simply sum(l)/len(l)
Oh, but np.array(l).mean() is much faster.
@L.AmberO'Hearn, I just timed it and np.mean(l) and np.array(l).mean are about the same speed, and sum(l)/len(l) is about twice as fast. I used l = list(np.random.rand(1000)), for course both numpy methods become much faster if l is numpy.array.
well, unless that's the sole reason for installing numpy. installing a 16mb C package of whatever fame for mean calculation looks very strange on this scale.
Also it's better to use np.nanmean(l) in order to avoid issues with NAN and zero divisions
246

For Python 3.4+, use mean() from the new statistics module to calculate the average:

from statistics import mean xs = [15, 18, 2, 36, 12, 78, 5, 6, 9] mean(xs) 

3 Comments

This is the most elegant answer because it employs a standard library module which is available since python 3.4.
And it is numerically stabler
And it produces a nicer error if you accidentally pass in an empty list statistics.StatisticsError: mean requires at least one data point instead of a more cryptic ZeroDivisionError: division by zero for the sum(x) / len(x) solution.
51

Why would you use reduce() for this when Python has a perfectly cromulent sum() function?

print sum(l) / float(len(l)) 

(The float() is necessary in Python 2 to force Python to do a floating-point division.)

2 Comments

For those of us new to the word 'cromulent'
float() is not necessary on Python 3.
39

There is a statistics library if you are using python >= 3.4

https://docs.python.org/3/library/statistics.html

You may use it's mean method like this. Let's say you have a list of numbers of which you want to find mean:-

list = [11, 13, 12, 15, 17] import statistics as s s.mean(list) 

It has other methods too like stdev, variance, mode, harmonic mean, median etc which are too useful.

Comments

25

EDIT:

I added two other ways to get the average of a list (which are relevant only for Python 3.8+). Here is the comparison that I made:

import timeit import statistics import numpy as np from functools import reduce import pandas as pd import math LIST_RANGE = 10 NUMBERS_OF_TIMES_TO_TEST = 10000 l = list(range(LIST_RANGE)) def mean1(): return statistics.mean(l) def mean2(): return sum(l) / len(l) def mean3(): return np.mean(l) def mean4(): return np.array(l).mean() def mean5(): return reduce(lambda x, y: x + y / float(len(l)), l, 0) def mean6(): return pd.Series(l).mean() def mean7(): return statistics.fmean(l) def mean8(): return math.fsum(l) / len(l) for func in [mean1, mean2, mean3, mean4, mean5, mean6, mean7, mean8 ]: print(f"{func.__name__} took: ", timeit.timeit(stmt=func, number=NUMBERS_OF_TIMES_TO_TEST)) 

These are the results I got:

mean1 took: 0.09751558300000002 mean2 took: 0.005496791999999973 mean3 took: 0.07754683299999998 mean4 took: 0.055743208000000044 mean5 took: 0.018134082999999968 mean6 took: 0.6663848750000001 mean7 took: 0.004305374999999945 mean8 took: 0.003203333000000086 

Interesting! looks like math.fsum(l) / len(l) is the fastest way, then statistics.fmean(l), and only then sum(l) / len(l). Nice!

Thank you @Asclepius for showing me these two other ways!


OLD ANSWER:

In terms of efficiency and speed, these are the results that I got testing the other answers:

# test mean caculation import timeit import statistics import numpy as np from functools import reduce import pandas as pd LIST_RANGE = 10 NUMBERS_OF_TIMES_TO_TEST = 10000 l = list(range(LIST_RANGE)) def mean1(): return statistics.mean(l) def mean2(): return sum(l) / len(l) def mean3(): return np.mean(l) def mean4(): return np.array(l).mean() def mean5(): return reduce(lambda x, y: x + y / float(len(l)), l, 0) def mean6(): return pd.Series(l).mean() for func in [mean1, mean2, mean3, mean4, mean5, mean6]: print(f"{func.__name__} took: ", timeit.timeit(stmt=func, number=NUMBERS_OF_TIMES_TO_TEST)) 

and the results:

mean1 took: 0.17030245899968577 mean2 took: 0.002183011999932205 mean3 took: 0.09744236000005913 mean4 took: 0.07070840100004716 mean5 took: 0.022754742999950395 mean6 took: 1.6689282460001778 

so clearly the winner is: sum(l) / len(l)

5 Comments

I tried these timings with a list of length 100000000: mean2 < 1s; mean3,4 ~ 8s; mean5,6 ~ 27s; mean1 ~1minute. I find this surprising, would have expected numpy to be best with a large list, but there you go! Seems there's a problem with the statistics package!! (this was python 3.8 on a mac laptop, no BLAS as far as I know).
Incidentally, if I convert l into an np.array first, np.mean takes ~.16s, so about 6x faster than sum(l)/len(l). Conclusion: if you're doing lots of calculations, best do everything in numpy.
@drevicko see mean4, this is what I do there... I guess that it its already a np.array then it make sense to use np.mean, but in case you have a list then you should use sum(l) / len(l)
exactly! It also depends on what you'll be doing with it later. Im my work I'm typically doing a series of calculations, so it makes sense to convert to numpy at the start and leverage numpy's fast underlying libraries.
@AlonGouldman Great. I urge showing each speed in 1/1000 of a second (as an integer), otherwise the number is hard to read. For example, 170, 2, 97, etc. This should make it so much more easily readable. Please let me know if this is done, and I will check.
19

Instead of casting to float, you can add 0.0 to the sum:

def avg(l): return sum(l, 0.0) / len(l) 

Comments

11

sum(l) / float(len(l)) is the right answer, but just for completeness you can compute an average with a single reduce:

>>> reduce(lambda x, y: x + y / float(len(l)), l, 0) 20.111111111111114 

Note that this can result in a slight rounding error:

>>> sum(l) / float(len(l)) 20.111111111111111 

3 Comments

I get that this is just for fun but returning 0 for an empty list may not be the best thing to do
@JohanLundberg - You could replace the 0 with False as the last argument to reduce() which would give you False for an empty list, otherwise the average as before.
@AndrewClark why do you force floaton len?
11

I tried using the options above but didn't work. Try this:

from statistics import mean n = [11, 13, 15, 17, 19] print(n) print(mean(n)) 

worked on python 3.5

Comments

7

Or use pandas's Series.mean method:

pd.Series(sequence).mean() 

Demo:

>>> import pandas as pd >>> l = [15, 18, 2, 36, 12, 78, 5, 6, 9] >>> pd.Series(l).mean() 20.11111111111111 >>> 

From the docs:

Series.mean(axis=None, skipna=None, level=None, numeric_only=None, **kwargs)

And here is the docs for this:

https://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.mean.html

And the whole documentation:

https://pandas.pydata.org/pandas-docs/stable/10min.html

1 Comment

This isn't a pandas question, so it seems excessive to import such a heavy library for a simple operation like finding the mean.
5

I had a similar question to solve in a Udacity´s problems. Instead of a built-in function i coded:

def list_mean(n): summing = float(sum(n)) count = float(len(n)) if n == []: return False return float(summing/count) 

Much more longer than usual but for a beginner its quite challenging.

4 Comments

Good. Every other answer didn't notice the empty list hazard!
Returning False (equivalent to the integer 0) is just about the worst possible way to handle this error. Better to catch the ZeroDivisionError and raise something better (perhaps ValueError).
@kindall how is a ValueError any better than a ZeroDivisionError? The latter is more specific, plus it seems a bit unnecessary to catch an arithmetic error only to re-throw a different one.
Because ZeroDivisionError is only useful if you know how the calculation is being done (i.e., that a division by the length of the list is involved). If you don't know that, it doesn't tell you what the problem is with the value you passed in. Whereas your new exception can include that more specific information.
5

as a beginner, I just coded this:

L = [15, 18, 2, 36, 12, 78, 5, 6, 9] total = 0 def average(numbers): total = sum(numbers) total = float(total) return total / len(numbers) print average(L) 

2 Comments

Bravo: IMHO, sum(l)/len(l) is by far the most elegant answer (no need to make type conversions in Python 3).
There is no need to store the values in variables or use global variables.
5

If you wanted to get more than just the mean (aka average) you might check out scipy stats:

from scipy import stats l = [15, 18, 2, 36, 12, 78, 5, 6, 9] print(stats.describe(l)) # DescribeResult(nobs=9, minmax=(2, 78), mean=20.11111111111111, # variance=572.3611111111111, skewness=1.7791785448425341, # kurtosis=1.9422716419666397) 

Comments

4

In order to use reduce for taking a running average, you'll need to track the total but also the total number of elements seen so far. since that's not a trivial element in the list, you'll also have to pass reduce an extra argument to fold into.

>>> l = [15, 18, 2, 36, 12, 78, 5, 6, 9] >>> running_average = reduce(lambda aggr, elem: (aggr[0] + elem, aggr[1]+1), l, (0.0,0)) >>> running_average[0] (181.0, 9) >>> running_average[0]/running_average[1] 20.111111111111111 

1 Comment

interesting but that's not what he asked for.
4

Both can give you close to similar values on an integer or at least 10 decimal values. But if you are really considering long floating values both can be different. Approach can vary on what you want to achieve.

>>> l = [15, 18, 2, 36, 12, 78, 5, 6, 9] >>> print reduce(lambda x, y: x + y, l) / len(l) 20 >>> sum(l)/len(l) 20 

Floating values

>>> print reduce(lambda x, y: x + y, l) / float(len(l)) 20.1111111111 >>> print sum(l)/float(len(l)) 20.1111111111 

@Andrew Clark was correct on his statement.

Comments

4

suppose that

x = [ [-5.01,-5.43,1.08,0.86,-2.67,4.94,-2.51,-2.25,5.56,1.03], [-8.12,-3.48,-5.52,-3.78,0.63,3.29,2.09,-2.13,2.86,-3.33], [-3.68,-3.54,1.66,-4.11,7.39,2.08,-2.59,-6.94,-2.26,4.33] ] 

you can notice that x has dimension 3*10 if you need to get the mean to each row you can type this

theMean = np.mean(x1,axis=1) 

don't forget to import numpy as np

Comments

2
l = [15, 18, 2, 36, 12, 78, 5, 6, 9] l = map(float,l) print '%.2f' %(sum(l)/len(l)) 

1 Comment

Inefficient. It converts all elements to float before adding them. It's faster to convert just the length.
2

Find the average in list By using the following PYTHON code:

l = [15, 18, 2, 36, 12, 78, 5, 6, 9] print(sum(l)//len(l)) 

try this it easy.

Comments

0
print reduce(lambda x, y: x + y, l)/(len(l)*1.0) 

or like posted previously

sum(l)/(len(l)*1.0) 

The 1.0 is to make sure you get a floating point division

Comments

0

Combining a couple of the above answers, I've come up with the following which works with reduce and doesn't assume you have L available inside the reducing function:

from operator import truediv L = [15, 18, 2, 36, 12, 78, 5, 6, 9] def sum_and_count(x, y): try: return (x[0] + y, x[1] + 1) except TypeError: return (x + y, 2) truediv(*reduce(sum_and_count, L)) # prints 20.11111111111111 

Comments

0

I want to add just another approach

import itertools,operator list(itertools.accumulate(l,operator.add)).pop(-1) / len(l) 

Comments

0

Simple solution is a avemedi-lib

pip install avemedi_lib 

Than include to your script

from avemedi_lib.functions import average, get_median, get_median_custom test_even_array = [12, 32, 23, 43, 14, 44, 123, 15] test_odd_array = [1, 2, 3, 4, 5, 6, 7, 8, 9] # Getting average value of list items print(average(test_even_array)) # 38.25 # Getting median value for ordered or unordered numbers list print(get_median(test_even_array)) # 27.5 print(get_median(test_odd_array)) # 27.5 # You can use your own sorted and your count functions a = sorted(test_even_array) n = len(a) print(get_median_custom(a, n)) # 27.5 

Enjoy.

Comments

0

Unlike statistics.mean(), statistics.fmean() works for a list of objects with different numeric types. For example:

from decimal import Decimal import statistics data = [1, 4.5, Decimal('3.5')] statistics.mean(data) # TypeError statistics.fmean(data) # OK 

This is because under the hood, mean() uses statistics._sum() which returns a data type to convert the mean into (and Decimal is not on Python's number hierarchy), while fmean() uses math.fsum() which just adds the numbers up (which is also much faster than built-in sum() function).

One consequence of this is that fmean() always returns a float (because averaging involves division) while mean() could return a different type depending on the number types in the data. The following example shows that mean() can return different types while for the same lists, fmean() returns 3.0, a float for all of them.

statistics.mean([2, Fraction(4,1)]) # Fraction(3, 1) <--- fractions.Fraction statistics.mean([2, 4.0]) # 3.0 <--- float statistics.mean([2, 4]) # 3 <--- int 

Also, unlike sum(data)/len(data), fmean() (and mean()) works not just on lists but on general iterables such as generators as well. This is useful, if your data is massive and/or you need to perform off-the-cuff filtering before computing the mean.

For example, if a list has NaN values averaging returns NaN. If you want to average the list while ignoring NaN values, you can filter out the NaN values and pass a generator to fmean:

data = [1, 2, float('nan')] statistics.fmean(x for x in data if x==x) # 1.5 

Note that numpy has a function (numpy.nanmean()) that does the same job.

import numpy as np np.nanmean(data) # 1.5 

Comments

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