__maths__>__Statistics and Probability__>__Statistics: Grouped Data__### Predicting using Grouped Data : Probability

In this page, finding probability of grouped data is explained with some examples.

*click on the content to continue..*

Considering the data height of students in a class of `20` students.

Considering this to be representative data for students of that age group, We try to predict the height of a student.

The probability of a random student in the height range `95` to `100` `=5//20`

Considering the data height of students in a class of `20` students. Considering this to be representative data for students of that age group, the probability of a random student of that age group in each of the range is given in the table.

*Considering the data height of students in a class of `20` students. Considering this to be representative data for students of that age group,* We try to predict the height of a student.

The probability of a random student to be exactly `97`cm high is 0. It is noted that the probability of getting one particular value is `0` in continuous distribution. This will be explained in detail in higher classes.

Consider the data height of students in a class of `20` students.

`90.2`, `97.4`, `99.7`, `88.3`, `90.7`

`93.5`, `96.8`, `89.5`, `99.5`, `98.9`

`91.2`, `101.3`, `94.0`, `93.4`, `93.1`

`94.7`, `96.9`, `92.8`, `91.8`, `99.6`

The figure shows the grouped data with ranges less than `90`, `90` to `95` range, `95` to `100` range, and greater than `100`.

It is noted that, This is one possible grouping and the data can be grouped in different ranges.

Considering the data height of students in a class of `20` students. Probability of the same is given in the figure.

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