Frequency tables are simple tools that help us organize and summarize data. Let's break down how to read and analyze the information in a frequency table.

1. Understanding the Structure:

   • A frequency table usually has two columns.

   • The first column shows different categories (or ranges) of data, and the second column tells you how many times each category occurs.

   • For example, look at this table about students' test scores:

     | Score Range | Frequency | |-------------|-----------| | 0-10 | 5 | | 11-20 | 10 | | 21-30 | 12 | | 31-40 | 8 |

2. Reading the Data:

   • The first column lists score ranges, and the second column shows how many students scored in each range.
   • From our example, we see that:
     • 5 students scored between 0 and 10,
     • 10 students scored between 11 and 20,
     • 12 students scored between 21 and 30,
     • 8 students scored between 31 and 40.

3. Analyzing the Data:

   • Total Frequency: To find out the total number of students, add up all the frequencies: 5 + 10 + 12 + 8 = 35.
   • Relative Frequency: To see what part of the total each category represents, we calculate relative frequencies. For the score range 0-10, we divide 5 (the frequency for that score range) by 35 (the total). This gives us about 0.14, or 14%.
   • Identify Trends: Look for patterns. In this case, the highest frequency (12) is in the score range 21-30. This tells us that most students scored between 21 and 30.

By learning these steps, you can easily read and understand data in frequency tables. This will help you make sense of statistics better!