Let's analyze the stem-and-leaf plot provided in the image:

Stem-and-Leaf Plot:

1 | 01257788
2 | 00122345556899
3 | 04467
4 | 135

Each line represents a "stem," and the digits on each line represent the "leaves."

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:
     • 1st row: 8 values
     • 2nd row: 13 values
     • 3rd row: 5 values
     • 4th row: 3 values
   • Total number of data values: $8 + 13 + 5 + 3 = 29$

   Answer: 29

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

   • The "last class" refers to the last stem, which is "4".
   • The minimum value is the smallest leaf in this row, which is "1".
   • Thus, the minimum value in the last class is 41.

   Answer: 41

3. What is the frequency of the modal class?

   • The modal class is the stem with the most leaves.
   • Stem "2" has the most leaves (13 leaves).
   • Frequency of the modal class: 13

   Answer: 13

4. How many of the original values are greater than 20?

   • Count the values in the rows where the stem is 2 or greater.
   • Stem "2": 13 values
   • Stem "3": 5 values
   • Stem "4": 3 values
   • Total values greater than 20: $13 + 5 + 3 = 21$

   Answer: 21

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Do you need 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 mode of the data set?
4. How many data values are less than 30?
5. What is the maximum value in the data set?

Tip: Stem-and-leaf plots are great for visualizing the distribution of data and quickly identifying the mode and range of the data set.