Given below are data that has approximately normal distribution.

data	data	data	data
60.79	50.04	48.31	48.99
44.26	43.6	35.08	46.11
52.34	65.63	50.05	66.37
56.32	48.73	35.62	62.76
52.93	38.54	46.58	42.86
66.27	43.86	49.83	58.55
43.68	37.92	46.73	74.83
68.22	51.71	40.31	76
64.14	41.98	38.71	60
44.11	57.3	49.25	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 the number of values in the class 60-64.99, we first need to identify the values in the data set that fall within this range. The class interval of 60-64.99 includes all values that are greater than or equal to 60 but less than 65.

### Step-by-Step Process

1. **Determine the Class Interval:**  
   The class interval is from 60 to 64.99. This means we are including all values from 60 up to but not including 65.

2. **Count the Values in the Interval:**  
   Let's go through the data set and count the values that fall within this interval.

Given data set:
- 60.79, 50.04, 48.31, 48.99
- 44.26, 43.6, 35.08, 46.11
- 52.34, 65.63, 50.05, 66.37
- 56.32, 48.73, 35.62, 62.76
- 52.93, 38.54, 46.58, 42.86
- 66.27, 43.86, 49.83, 58.55
- 43.68, 37.92, 46.73, 74.83
- 68.22, 51.71, 40.31, 76
- 64.14, 41.98, 38.71, 60
- 44.11, 57.3, 49.25, 65

Now, we will count the values within the interval [60, 64.99).

3. **List the Values in the Interval:**
   - 60.79 (in range)
   - 62.76 (in range)
   - 64.14 (in range)
   - 60 (in range)

4. **Count the Values:**  
   There are 4 values that fall within the class interval of 60-64.99.

### Conclusion

There are **4 values** in the class 60-64.99.

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Do you want details on the steps, or do you have any questions?

Here are 5 related questions for further exploration:

1. How would you find the frequency of other class intervals in this data set?
2. What is the mean of the given data set?
3. How do you calculate the standard deviation for a data set?
4. How can we determine if this data set is approximately normally distributed?
5. How would the frequency distribution change if the class intervals were of different sizes?

**Tip:** When creating a grouped frequency distribution, always ensure that class intervals do not overlap and cover the entire range of data.

Learn how to count the number of values in the class interval 60-64.99 using a grouped frequency distribution. This example analyzes a dataset with approximately normal distribution and identifies values falling within specific class intervals. Suitable for high school students studying statistics and data analysis.

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