Grouped Frequency Distribution
Sometimes it can happen that, there too many values in a particular range. So, it can be really difficult to make a frequency table for each entity. Instead, we make a frequency table for a range and count the number of entities lying in that range.
For example,
Let’s say we have data that shows the runs made by a particular batsman in 60 matches.
21, 10, 30, 22, 33, 5, 37, 12, 25, 42, 15, 39, 26, 32, 26 27, 28, 19, 29, 35, 31, 24, 36, 18, 20, 38, 22, 44, 16, 24, 10, 27, 39, 28, 49, 29, 32, 23, 31, 21, 34, 22, 23, 36, 24, 36, 33, 47, 48, 50, 39, 20, 7, 16, 36, 45, 47, 30, 22, 17
Now we cannot make a frequency table for each value, thus we use the grouped frequency distribution concept discussed above.
Let’s make a range like 0-10, 10-20, 20-30, and so on.
| Groups | Frequency |
|---|---|
| 0-10 | 2 |
| 10-20 | 9 |
| 20-30 | 22 |
| 30-40 | 15 |
| 40-50 | 8 |
| 50-60 | 2 |
Note: Notice that in the interval 0-10, 10-20. 10 is common, but a value cannot belong to two intervals simultaneously. Thus, a convention is assumed that the common observation will belong to higher class. So 10 will belong to the interval 10-20.
In a group 50-60, 50 is called the lower class limit and 60 is called the upper-class limit. The difference between the upper-class limit and the lower class limit is called the width or size of the interval.
Grouping of Data
Grouping of Data: Data Handling or Handling of data is not just a mathematical term but is used in everyday life. When there is a requirement to record, gather, and present any type of information or data, data handling is preferably used. Statistics is a word we often hear, is not but another term for data handling. From making a bar chart of favorite candies of different students to representing a large survey done on COVID-19 cases, data handling is used and preferred.
This information in such cases is called Data. Data can be represented in both statistical ways and graphical ways. Graphical ways usually visually appealing are also easier to understand by a common person. There are many ways to represent data graphically:
- Pictograph
- Bar Graph
- Double Bar Graph
Table of Content
- What is Data Handling?
- Data Handling Definition
- What is Data Grouping of Grouping of Data?
- Grouped Frequency Distribution
- Histograms
- Sample Problems on Grouping of Data
- Summary – Grouping of Data