https://file.aiquickdraw.com/mathbot/file/1726452885083ftn534mv.jpg

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.

In building a Frequency Distribution Table for this data set, you need to know how many values are in the class from 60 to 65. You decided that each class will include the lower class limit, but not the upper class limit. So, how many values are there in the interval [60, 65)?

Find the frequency of values in the interval [60, 65) from a data set, where 60 is included and 65 is excluded. Learn how class limits affect the frequency count in this statistical problem suitable for high school students.

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