Commonest

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`Commonest`

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Commonest[list]

gives a list of the elements that are the most common in list.

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Commonest[list,n]

gives a list of the n most common elements in list.

Details

When several elements occur with equal frequency, Commonest[list,…] picks first the ones that occur first in list.
Commonest[list,n] returns the n commonest elements in the order they appear in list.
Commonest[list,UpTo[n]] returns the n commonest elements, or as many as are available.

Examples

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Basic Examples (3)Summary of the most common use cases

Obtain the elements with the highest frequency:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-crqgpn

Out[1]=1

Obtain the 4 most common elements:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-g25vkh

Out[1]=1

Obtain the 6 most common elements, or as many as there are if fewer:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-6nefnu

Out[1]=1

Scope (4)Survey of the scope of standard use cases

Exact input yields exact output:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-ug7y2

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-bcry2t

Out[2]=2

Approximate input yields approximate output:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-ksx55

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-b040nh

Out[2]=2

Works with large arrays:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-nknun

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-ddw0r4

Out[2]=2

Works with data involving quantities:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-jopin9

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-e8c21s

Out[2]=2

Applications (2)Sample problems that can be solved with this function

Find the mode of a set of random integers:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-bjgnjb

Out[1]=1

Find the most frequently occurring elements in the columns of a matrix:

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-bwk63i

Out[2]=2

Find the mode for the heights of the children in a class:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-cevfij

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-fllmtw

Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0i1kv4tyg-celepo

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0i1kv4tyg-je3w5i

Out[4]=4

In[5]:=5

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https://wolfram.com/xid/0i1kv4tyg-cny2bx

Out[5]=5

Properties & Relations (1)Properties of the function, and connections to other functions

Commonest gives elements with the largest Tally values:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-pxu1j7

In[2]:=2

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https://wolfram.com/xid/0i1kv4tyg-dr1o5y

Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0i1kv4tyg-cb33gz

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0i1kv4tyg-082s1

Out[4]=4

Possible Issues (1)Common pitfalls and unexpected behavior

A message is generated if there are fewer distinct elements than requested:

In[1]:=1

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https://wolfram.com/xid/0i1kv4tyg-qr5qh

Out[1]=1

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