Given below are data that has approximately normal distribution.


data	data	data	data
59.36	58.86	61.31	54.32
58.37	48.06	33.47	59.71
41.47	34.47	53.26	61.1
44.07	43.39	48.02	60.55
57.11	53.84	58.65	34.99
59.52	66.87	32.46	32.86
53.86	66.14	50.77	43.12
48.24	42.85	48.5	39.34
42.74	57.97	68.27	60
55	52.37	48.98	65


In building a grouped frequency distribution table for this data set, how many values are there in the class 60-64.99? Include the lower class limit, but not the upper class limit.


To find out how many values fall into the class interval \(60 - 64.99\) (including 60 but excluding 65), we'll follow these steps:

### Steps:
1. **Identify the data points in the interval \(60 \leq x < 65\)**.
2. **Count the data points that fall within this range**.

#### Data points provided:
\[
\begin{aligned}
59.36, 58.86, 61.31, 54.32, 58.37, 48.06, 33.47, 59.71, 41.47, 34.47, 53.26, 61.10, \\
44.07, 43.39, 48.02, 60.55, 57.11, 53.84, 58.65, 34.99, 59.52, 66.87, 32.46, 32.86, \\
53.86, 66.14, 50.77, 43.12, 48.24, 42.85, 48.50, 39.34, 42.74, 57.97, 68.27, 60.00, \\
55.00, 52.37, 48.98, 65.00
\end{aligned}
\]

#### Data in the interval \(60 \leq x < 65\):
- 61.31
- 61.10
- 60.55
- 60.00

There are **4 values** in the class interval \(60 - 64.99\).

### Conclusion:
There are **4 values** in the class \(60 - 64.99\), including the lower class limit but excluding the upper class limit.

---

Would you like more details on how to organize the frequency distribution? Here are some related questions:

1. How to construct a grouped frequency distribution table?
2. How to calculate the mean and standard deviation for this data?
3. What is a normal distribution, and how can this data be tested for normality?
4. How can we visualize this data set with a histogram or frequency polygon?
5. How can we calculate the cumulative frequency for this data?

**Tip**: Grouped frequency tables are helpful when dealing with large data sets, making it easier to spot trends and calculate descriptive statistics.

Given below are data that has approximately normal distribution. In building a grouped frequency distribution table for this data set, how many values are there in the class 60-64.99? Include the lower class limit, but not the upper class limit.

Learn how to determine the number of values in the class interval 60-64.99 from a dataset with an approximately normal distribution. This problem covers key statistical concepts like frequency distribution and class intervals. The dataset includes values like 59.36, 58.86, 61.31, and more.

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