Creating a cumulative frequency table from raw data is a handy skill to have in Year 10 math. Let's make it easy to follow with a step-by-step guide.

Step 1: Gather and Sort Your Data

First, you need to have your raw data ready. Let’s say you have a list of test scores from a class:

45, 67, 56, 73, 88, 90, 99, 75, 67, 80

Now, sort these scores from lowest to highest:

45, 56, 67, 67, 73, 75, 80, 88, 90, 99

Step 2: Set Up Your Class Intervals

Next, decide how to group your data using intervals. You can make groups of ten like this:

• 40-49
• 50-59
• 60-69
• 70-79
• 80-89
• 90-99

Step 3: Count the Frequencies

Now, look at each interval and count how many scores fit into each group. You might find:

• 40-49: 1 score
• 50-59: 1 score
• 60-69: 2 scores
• 70-79: 3 scores
• 80-89: 3 scores
• 90-99: 1 score

Step 4: Make the Cumulative Frequency Table

Start from the first interval and add up the counts as you go down the list. This creates the cumulative totals.

Here’s what it looks like:

| Interval | Frequency | Cumulative Frequency | |----------|-----------|----------------------| | 40-49 | 1 | 1 | | 50-59 | 1 | 2 | | 60-69 | 2 | 4 | | 70-79 | 3 | 7 | | 80-89 | 3 | 10 | | 90-99 | 1 | 11 |

Step 5: Create a Cumulative Frequency Graph

To see your data more clearly, you can draw a graph. The x-axis will show the top limits of your intervals, and the y-axis will show the cumulative frequency. Just plot the points from your table and connect them smoothly.

And that’s all there is to it! You have made a cumulative frequency table from raw data. This method helps you organize your information and makes it easier to see trends, which is super important for your studies. Happy data handling!