Solved Examples on Frequency Distribution Table in Statistics
Example 1: Suppose you have a dataset of exam scores: {65, 72, 85, 90, 78, 92, 88, 76, 82, 95, 68, 74, 80}. Create a grouped frequency distribution table with class intervals of width 10 starting from 60.
Solution:
Class Intervals
Frequency
60-70
2
70-80
4
80-90
5
90-100
2
- The first class interval (60-70) includes scores 65 and 68.
- The second class interval (70-80) includes scores 72, 78, 76, and 74.
- The third class interval (80-90) includes scores 85, 90, 88, 82, and 80.
- The fourth class interval (90-100) includes scores 92 and 95.
Example 2: In a survey, participants were asked to rate a product on a scale of 1 to 5. The data collected is as follows: {3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 5, 2, 4, 5, 1}. Create a relative frequency distribution table to represent the proportion of each rating in the dataset.
Solution:
Step 1: Identify unique values and their frequencies.
Rating
Frequency
1
2
2
2
3
3
4
4
5
4
Step 2: Calculate the relative frequency for each rating.
Relative Frequency = (Frequency of Rating) / (Total Number of Ratings)
Rating
Frequency
Relative Frequency
1
2
2/15
2
2
2/15
3
3
3/15
4
4
4/15
5
4
4/15
Step 3: Optionally, present the relative frequency as a percentage.
Relative Frequency (Percentage) = Relative Frequency × 100
Rating
Frequency
Relative Frequency
Relative Frequency (%)
1
2
2/15
13.33
2
2
2/15
13.33
3
3
3/15
20
4
4
4/15
26.67
5
4
4/15
26.67
Also, Check
Frequency Distribution Table
Frequency Distribution Table in statistics is a table that contains all the values and frequencies of different objects. It is an efficient way to record and retrieve a big chunk of data. It helps in easy visualization of data based on its frequency which basically means how many times a particular data appears.
In this article, we will learn about, Frequency Distribution Table Definition, Examples, How to Make Frequency Distribution Table, and others in detail.
Table of Content
- What is Frequency Distribution Table?
- How to Create a Frequency Distribution Table
- Frequency Distribution Table in Statistics
- Cumulative Frequency Distribution Table
- What is Grouped Data?
- What is Ungrouped Data?