| Property | Value |
|---|---|
| Hex Value | $1F |
| Categories | |
| Localizations |
|
median(
Overview
Returns the median of list with frequency freqlist.
Availability: Token available everywhere.
Syntax
median(list[,freqlist])
Arguments
| Name | Type | Optional |
|---|---|---|
| list | list | |
| freqlist | list | Yes |
Location
2nd, list, MATH, 4:median(
Description
The median( command finds the median of a list. It takes a list of real numbers as a parameter. For example:
:Prompt L1
:Disp "MEDIAN OF L1",median(L1
That's not all, however. Awesome as the median( command is, it can also take a frequency list argument, for situations when your elements occur more than once. For example:
:Disp median({1,2,3},{5,4,4})
is short for
:median({1,1,1,1,1,2,2,2,2,3,3,3,3})
The frequency list {5,4,4} means that the first element, 1, occurs 5 times, the second element, 2, occurs 4 times, and the third element, 3, occurs 4 times.
Advanced Uses
Frequency lists don't need to be whole numbers. Amazing as that may sound, your calculator can handle being told that one element of the list occurs 1/3 of a time, and another occurs 22.7 times. It can even handle a frequency of 0 - it will just ignore that element, as though it weren't there. One caveat, though - if all of the elements occur 0 times, there's nothing to take the median of and your calculator will throw an error.
Error Conditions
- ERR:DATA TYPE is thrown, among other cases, if the data list is complex, or if the frequencies are not all positive and real.
- ERR:DIM MISMATCH is thrown if the frequency list and the data list have a different number of elements.
- ERR:DIVIDE BY 0 is thrown if the frequency list's elements are all 0.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, Mr Dino, Timothy Foster.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | Added |
Created: February 23, 2023 23:15:01