Ungrouped data – What it is, definition and concept

Non-grouped data are those that have not received any treatment or classification after being collected. That is, the data has not been separated by groups under any criteria.

In simple terms, the data not grouped are those that are presented as they have been collected, showing the list of the information obtained.

We must remember that a statistical data is the representation of a qualitative or quantitative variable. This, by assigning a number, letter or symbol.

Another important issue to mention is that, according to the reviewed sources, non-grouped data is usually used when it comes to small samples, of 20 data or less. On the other hand, with larger samples, the analysis is complicated, so they are usually grouped (as we will explain later).

An example of non-grouped data would be the following, if we are recording the grades (which can range from 1 to 20) obtained by a classroom of 15 students:

13,14,11,10,09,08,17,16,11,18,13,16,15,12,14

Difference between grouped and non-grouped data

The difference between non-grouped and grouped data is that the latter are characterized by being divided, for example, into different numerical ranges such as the following: from 1 to 10, from 11 to 20, and from 21 to 30.

Likewise, each numerical range is assigned a frequency, that is, the amount of data within the sample that belongs to that range.

However, in the case of non-grouped data, this classification is not made, although they can be ordered (from lowest to highest, for example).

Grouped data example

Let’s look at a practical example to understand what ungrouped data is. Let’s imagine that we have the height of the members of a sports team.

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The non-grouped data would be presented as follows:

Sportsman Height
Alder Gutierrez 1.7
Ani Rojas 1.8
Antonio Ortiz 1.75
Jimena vega 1.9
Valeria pizango 1.74
Gabriel Islas 1.77
Ramiro Urrutia 1.82
Estefania Vargas 1.85
Elder Flores 1.87
Fatima Hurtado 1.75
Tatiana gonzalez 1.72
Sebastian Rosas 1.81
Silvana Rivas 1.79
Walter burgos 1.86
Juan Jose Estremaydoro 1.84
Antonio Casas 1.91
Liliana azcorbe 1.77
Carlos Quispe 1.72

On the other hand, if the data were grouped, they would be presented as follows:

Height Frequency
[1,7-1,74] 4
[1,75-1,79] 5
[1,8-1,84] 4
[1,85-1,89] 3
[1,9-1,94] two

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