# How do I find a median class

### 3.3.3.1 Median for grouped data

At **grouped data** is the calculation of the **Medians** a little more complicated. Here is the arithmetic sequence:

- Formation of
**Frequency table**(including cumulative frequencies) - Determination of the class
*m*in which the**Median**is: where is the value (n + 1) / 2. This is now called**Median class**designated (n = total number of entries) - Determination of the lower (= x
^{must}) and upper**Class boundary**(x) from*m* - Identify the
**Class breadth***H*(results from upper class limit - lower class limit). - Subtract the accumulated frequency of all classes up to the class
*m*(i.e. classes 1 to m-1) from n / 2 -> position of the median in the median class - Division of the position by the number of values in the class = relative order of magnitude of the median (proportions of the whole of the class)
- Multiplication of the relative class share by the class width = absolute order of magnitude of the median
**within**the class - Addition of the lower class limit (in which the median lies) to the absolute size of the median (in the class) = final result = median
*Z*

Figure: Formula for the median for grouped data

**Example:** Time consumed in solving a task

Figure: Example - table for the time consumed in solving a task

n = 37, the median is the 18th value, this is in class 5 (4.5-5.5 minutes duration), therefore:

Figure: Calculation of the median for the example "time consumption"

The median is therefore 5.

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