The task asks for the frequency of values within the interval $[60, 65)$ from the provided dataset, where the interval includes 60 but excludes 65. Let's proceed step by step:

Step 1: Identify the values within the interval $[60, 65)$

The values in the dataset within this range are those greater than or equal to 60 but less than 65.

From the image, the following values fit this criterion:

• 65.79 (excluded since 65 is the upper limit)
• 64.57 (included)
• 64.07 (included)
• 65.05 (excluded)
• 60 (included)

So, the values that meet the condition are:

• 64.57
• 64.07
• 60

Step 2: Count the values

There are 3 values in the interval $[60, 65)$.

Thus, the frequency is:

$\text{Frequency} = 3$

Would you like any further details or clarifications?

Here are 5 questions for you to consider:

1. How would the frequency change if the upper limit were inclusive in this interval?
2. What is a frequency distribution table, and how is it used?
3. How can we visualize the distribution of this data set, such as using a histogram?
4. How would the class intervals affect the accuracy of data analysis?
5. Why might we choose to exclude the upper class limit in certain statistical calculations?

Tip: When creating a frequency distribution, always clarify whether the class limits are inclusive or exclusive, as it significantly impacts the result.