In statistics Frequency distribution continuous is an arrangement of the values that one or more variables take in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval, and in this way, the table summarizes the distribution of values in the sample.
In a Frequency distribution continuous, scores falling within various ranges are tabulated.
Grouped frequency distributions can be portrayed graphically using Histograms.
Steps used to construct Frequency distribution continuous
1) Find the maximum and minimum value from the given data.
2) Decide the number of classes to be formed. Note : The number of classes should be in the range of 5 to 15.
3) Find the difference between the maximum and minimum value and divide this difference by the number of classes to be formed to determine the class interval. Range = maximum value – minimum value.
4) If the class interval is 20 – 25 then the number 25 will occur in the next class interval. Example :
Consider the following marks (out of 50) obtained in Mathematics by 60 students of Class VIII:
21, 10, 30, 22, 33, 5 , 37, 12, 25, 42, 15, 39, 26, 32, 18, 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.
If we make a frequency distribution table for each observation, then the table would
be too long, so, for convenience, we make groups of observations.
From the above data 5 is the minimum value and 50 is the maximum value. So we have to make such classes that 1st class includes minimum value and last class includes maximum value.
So the class interval will be 0 – 10, 10 – 20 and so on. According to these classes find the frequency. So the Frequency distribution tables is as follows :