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:

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.