https://file.aiquickdraw.com/mathbot/file/1727357629706r4ufhga1.jpg

Let's begin by creating a frequency distribution table based on the data from the image you uploaded. First, I'll extract the data values, determine the range, and then compute the class intervals.

### Step-by-Step Process:

1. **Extract Data**: First, I will manually read the numbers from the image.
   - **First row**: 88.4, 89, 90.4, 51, 75.3, 75, 53.2, 79.3
   - **Second row**: 84, 85, 84.3, 85.8, 89, 77, 78.1, 78
   - **Third row**: 79.8, 64, 67, 72, 54.7, 58.5, 62, 64
   - **Fourth row**: 80.6, 52, 91.5, 68, 73, 55.4, 60.3, 63.9
   - **Fifth row**: 81, 82.9, 53, 86.5, 69.4, 74, 56, 61
   - **Sixth row**: 87.5, 55, 83.8, 85, 95, 70.8, 75, 57
   - **Seventh row**: 86.5, 92, 91.7, 84, 93, 94, 71.7, 76.5

2. **Determine the Range**: 
   - The smallest value is **51** and the largest value is **95**.
   - **Range** = 95 - 51 = 44.

3. **Determine Class Intervals**:
   - We need **6 class intervals**.
   - **Interval Width** = \( \frac{44}{6} \approx 7.33 \), so we can round it to **8**.

4. **Construct the Class Intervals**:
   - First interval: 51 - 59
   - Second interval: 60 - 67
   - Third interval: 68 - 75
   - Fourth interval: 76 - 83
   - Fifth interval: 84 - 91
   - Sixth interval: 92 - 99

5. **Frequency Distribution**:
   Now, I will calculate the frequency for each interval based on the extracted data.

Let me calculate and organize the frequency distribution.Here is the frequency distribution based on the provided data and 6 class intervals:

| Class Interval | Frequency |
|----------------|-----------|
| 51 - 59        | 10        |
| 60 - 67        | 7         |
| 68 - 75        | 9         |
| 76 - 83        | 9         |
| 84 - 91        | 13        |
| 92 - 99        | 4         |

The interval with the highest frequency is **84 - 91**, with a count of 13.

Would you like further details on how these intervals are constructed, or do you have any other questions?

Here are some follow-up questions:
1. Would you like to see a cumulative frequency distribution?
2. Do you want a histogram plotted for this data?
3. Would you like to calculate the relative frequencies?
4. Should I calculate the mean or median for this dataset?
5. Would you like an explanation on how to find the mode from grouped data?

**Tip**: Class intervals should always be of equal width to ensure consistency in your frequency distribution table.

Make a frequency distribution table with 6 class intervals.

Learn how to make a frequency distribution table using data points and create 6 class intervals. The problem involves calculating the range, determining the class width, and counting the frequency for each interval.

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