Answer:
a frequency distribution is a way to organize and present data in a table format. It shows the number of observations that fall into each class (or category) as a proportion of the total number of observations.
To construct a relative frequency distribution for a first class with a lower class limit of zero and a class width of one, you will need the following information:
A set of data that you want to organize into classes
The lower class limit for the first class (in this case, zero)
The class width (in this case, one)
Here's an example of how to construct a relative frequency distribution using a set of data:
Data set: {1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 9}
First class: 0-1 (lower class limit is 0, upper class limit is 1)
Step 1: Create a table with the classes and their corresponding frequencies.
Class Frequency
0-1 0
1-2 2
2-3 3
3-4 3
4-5 2
5-6 2
6-7 1
7-8 0
8-9 2
9-10 1
Step 2: To find the relative frequency, we divide the frequency of each class by the total number of observations (N) and multiply by 100%.
Class Frequency Relative Frequency (%)
0-1 0 0/15*100 = 0
1-2 2 2/15*100 = 13.3
2-3 3 3/15*100 = 20
3-4 3 3/15*100 = 20
4-5 2 2/15*100 = 13.3
5-6 2 2/15*100 = 13.3
6-7 1 1/15*100 = 6.7
7-8 0 0/15*100 = 0
8-9 2 2/15*100 = 13.3
9-10 1 1/15*100 = 6.7
The relative frequency distribution table shows the proportion of observations that fall into each class. It can be used to visualize the distribution of the data and identify patterns or trends.
Uday Tahlan