Here is the data set summarized as a stem and leaf plot? 5# | 012466778 6# | 01133467779999 7# | 05688 8# | 017 how many data values are in this data? n= what is the minimum value in the last class? ans= what is the frequency of the model class? (hint, what is the mode?) frequency = how many of the original value are greater than 60? ans=

Let's break down the problem using the stem-and-leaf plot provided:

### Stem-and-Leaf Plot:
- **5#** | 012466778 
- **6#** | 01133467779999 
- **7#** | 05688 
- **8#** | 017

### Interpretation:
- The stem represents the tens place of the numbers.
- The leaves represent the ones place.

### Questions and Answers:

1. **How many data values are in this data?**
   - To find the total number of data values, count all the leaves across all stems.
   - **5#** has 8 values.
   - **6#** has 11 values.
   - **7#** has 5 values.
   - **8#** has 3 values.
   - Total: \( 8 + 11 + 5 + 3 = 27 \)
   - **n = 27**

2. **What is the minimum value in the last class (8#)?**
   - The last class is "8#" and its values are 0, 1, and 7.
   - The minimum value here is 80 (since 0 is in the ones place).
   - **Minimum value = 80**

3. **What is the frequency of the modal class (mode)?**
   - The mode is the most frequently occurring value.
   - Looking at the data, "9" appears most frequently in the stem 6# (it appears 5 times: 69, 69, 69, 69, 69).
   - So the frequency of the modal class (6#) is **5**.

4. **How many of the original values are greater than 60?**
   - Values greater than 60 come from stems 6#, 7#, and 8#.
   - From the stem **6#**, the values greater than 60 are: 61, 61, 63, 64, 66, 67, 67, 69, 69, 69, 69 (11 values).
   - From the stem **7#**, all values: 70, 75, 76, 78, 78 (5 values).
   - From the stem **8#**, all values: 80, 81, 87 (3 values).
   - Total: \( 11 + 5 + 3 = 19 \)
   - **Answer = 19**

### Summary:
- **n = 27** 
- **Minimum value in the last class = 80**
- **Frequency of the modal class = 5**
- **Number of values greater than 60 = 19**

Would you like any more details or have any other questions? Here are five additional questions that expand on this information:

1. What is the maximum value in the dataset?
2. What is the range of the dataset?
3. What is the median value of the dataset?
4. How would the mean be calculated for this dataset?
5. What is the frequency of the stem 7#?

**Tip:** When analyzing a stem-and-leaf plot, it's useful to calculate both the mode and the median to understand the distribution of data.

Learn how to interpret a stem-and-leaf plot with detailed explanations and answers to common questions. Explore concepts such as data distribution, minimum and mode frequency, and frequency analysis. Suitable for high school students studying statistics.

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