Here is a data set summarized as a stem-and-leaf plot: 
5# | 035556688 
6# | 0001233344667899 
7# | 01578 
8# | 569

How many data values are in this data set? 
 

What is the minimum value in the last class? 
ans = 

What is the frequency of the modal class? (Hint, what is the mode?) 
frequency = 

How many of the original values are greater than 60? 
ans = 

Let's analyze the new stem-and-leaf plot:

### Stem-and-Leaf Plot:
5 | 035556688  
6 | 0001233344667899  
7 | 01578  
8 | 569  

#### Questions and Solutions:

1. **How many data values are in this data set?**
   - To find the total number of data values, count all the leaves.
   - Count:  
     - 5th stem: 9 values  
     - 6th stem: 15 values  
     - 7th stem: 5 values  
     - 8th stem: 3 values  
   - Total number of data values: \(9 + 15 + 5 + 3 = 32\)

   **Answer:** 32

2. **What is the minimum value in the last class?**
   - The "last class" refers to the last stem, which is "8".
   - The minimum value is the smallest leaf in this row, which is "5".
   - Thus, the minimum value in the last class is 85.

   **Answer:** 85

3. **What is the frequency of the modal class?**
   - The modal class is the stem with the most leaves.
   - Stem "6" has the most leaves (15 leaves).
   - Frequency of the modal class: 15

   **Answer:** 15

4. **How many of the original values are greater than 60?**
   - Count the values in the rows where the stem is 6 or greater.
   - Stem "6": 15 values  
   - Stem "7": 5 values  
   - Stem "8": 3 values  
   - Total values greater than 60: \(15 + 5 + 3 = 23\)

   **Answer:** 23

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Would you like more details or have any further questions?

### Additional Questions:
1. What is the range of the data set?
2. What is the median of the data set?
3. What is the maximum value in the data set?
4. How many data values are less than 55?
5. What is the sum of all the values in the dataset?

**Tip:** The stem-and-leaf plot not only helps in identifying individual data points but also in quickly understanding the distribution and concentration of the data.

Explore and analyze a stem-and-leaf plot to find the total number of data values, the minimum value in the last class, the frequency of the modal class, and the count of values greater than 60. Understand the distribution and concentration of the data with this detailed analysis.

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