frequency table
A table for organizing a set of data that shows the number of times each item or number appears.
A frequency table is a statistical tool used to organize a set of data by recording the number of times that each distinct observation occurs in the data. It is a way of summarizing large amounts of data to provide a quick and easy-to-read overview of the distribution of values in a dataset.
To create a frequency table, the first step is to list out all the distinct values or categories in the data. Then, count how many times each value or category appears and record it in the table next to the corresponding value. Finally, the table should include a column for the frequencies or counts, as well as a column for the relative frequencies, which is the proportion or percentage of each value relative to the total number of observations.
For example, suppose we have data on the number of hours that 30 students spent studying for a test. Here is an example of a frequency table for this data:
| Hours Studied | Frequency | Relative Frequency |
|————–|———–|——————–|
| 0-2 | 3 | 10% |
| 2-4 | 5 | 16.67% |
| 4-6 | 8 | 26.67% |
| 6-8 | 9 | 30% |
| 8-10 | 5 | 16.67% |
This frequency table tells us that the majority of students (30%) studied for 6-8 hours, followed closely by those who studied for 4-6 hours (26.67%). The table also indicates that the fewest number of students (10%) studied for 0-2 hours, and that approximately half of the students (53.33%) studied for 6 hours or more.
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