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Editorial Team
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Editorial Team
Asked: May 22, 20262026-05-22T02:24:13+00:00 2026-05-22T02:24:13+00:00

Given a list of numbers in Mathematica, how would I extract from that list

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Given a list of numbers in Mathematica, how would I extract from that list the total number of numbers between numbers a and b that I specify?

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  1. Editorial Team
    Editorial Team
    2026-05-22T02:24:14+00:00Added an answer on May 22, 2026 at 2:24 am

    The most direct way is simply:

    Count[data, x_ /; a <= x <= b]
    

    There are however much faster ways for most data, this one thanks to Carl Woll:

    Tr@Unitize@Clip[data, {a, b}, {0, 0}]
    

    Carl Woll’s method is particularly fast, but as yoda pointed out, it fails if your list contains zeros, and your range also straddles zero. Here is another method from Kevin J. McCann that handles this case, and is still very fast:

    Tr@UnitStep[(data - a)*(b - data)]
    

    As a pure function [data, a, b]:

    Tr@UnitStep[(#-#2)*(#3-#)]&
    
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