MEDIAN() – Finds the median (middle value) of numbers in a range

The MEDIAN() function returns the median of the numeric values in a specified range. The median is the number in the middle of a set of numbers; that is, half the numbers have values that are greater than the median, and half have values that are less.

Syntax

MEDIAN(range)

  • range: A continuous range of cells containing the numbers for which you want to find the median (e.g., T1A1:T1A10).

Basic example

MEDIAN(T1A1:T1A5)

This formula finds the median of the numbers in cells T1A1 through T1A5.


Example outputs:

  • If cells T1A1:T1A5 contain [1, 2, 3, 4, 5], the formula returns 3.
  • If cells T1A1:T1A6 contain [1, 2, 3, 4, 5, 6], the formula returns 3.5 (the average of 3 and 4).
  • If cells T1A1:T1A5 contain [10, "text", 50, empty_cell, 20], the numbers are [10, 20, 50]. The median is 20.
  • If cells T1A1:T1A3 contain [7, 1, 4], the sorted numbers are [1, 4, 7]. The median is 4.

Key features

  • Middle value: Returns the statistical median of the dataset.
  • Handles even/odd counts: If there is an odd number of numeric values, it returns the middle number. If there is an even number, it returns the average of the two middle numbers.
  • Ignores text: Text values within the range are ignored.
  • Ignores empty cells: Blank cells within the range are ignored.

Practical uses

  • Finding the median income or median house price in a dataset, which can be more representative than the average if there are outliers.
  • Determining a central tendency for skewed distributions.
  • Useful in statistics when extreme values might distort the arithmetic mean.

Common mistakes

  • Incorrect range specification: Ensure the range is correctly defined.
  • Numbers formatted as text: If numbers are stored as text and not automatically converted by MathGrid for processing, they will be ignored, potentially leading to an incorrect median.
  • Empty or all-text range: If the range contains no numeric values (all cells are empty or contain text), MEDIAN() will likely return an error.
  • Confusing with MODE or AVERAGE: Ensure you need the median (middle value) and not the most frequent value (MODE) or the arithmetic mean (AVERAGE).

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