I've opened the image you provided. Now, I'll solve the questions based on the stem-and-leaf plot in the image.

Stem-and-Leaf Plot:

• 5# | 0124667789
• 6# | 011223222456678
• 7# | 05689
• 8# | 17

Let's answer the questions:

1. How many data values are in this data set?

   • Count the total number of leaves.
   • 5# has 9 values.
   • 6# has 14 values.
   • 7# has 5 values.
   • 8# has 2 values.
   • Total: $9 + 14 + 5 + 2 = 30$
   • n = 30

2. What is the minimum value in the last class?

   • The last class is "8#" and its values are 1 and 7.
   • The minimum value here is 81.
   • Minimum value = 81

3. What is the frequency of the modal class (mode)?

   • The mode is the most frequently occurring value.
   • The value "2" appears most frequently in the stem 6# (it appears 4 times: 62, 62, 62, 62).
   • So the frequency of the modal class (6#) is 4.

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, 62, 62, 62, 62, 64, 65, 66, 67, 67, 68 (12 values).
   • From the stem 7#, all values: 70, 75, 76, 78, 79 (5 values).
   • From the stem 8#, all values: 81, 87 (2 values).
   • Total: $12 + 5 + 2 = 19$
   • Answer = 19

Summary:

• n = 30
• Minimum value in the last class = 81
• Frequency of the modal class = 4
• 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: Understanding the distribution of your data using the mode, median, and range can provide useful insights into its characteristics.