The image provides a data set summarized as a stem-and-leaf plot, along with several questions regarding the data.

Stem-and-Leaf Plot:

• 1 | 1 1 4 4 4 7 9
• 2 | 0 2 3 4 4 4 6 6 7 8 9
• 3 | 0 8
• 4 | 1 7 9

Questions:

1. How many data values are in this data set?
2. What is the minimum value in the list?
3. What is the frequency of the modal class? (Hint: what is the mode?)
4. How many of the original values are greater than 29?

Solutions:

1. Total Number of Data Values:

   • Count all the numbers in the stem-and-leaf plot.
   • $1 | 1 1 4 4 4 7 9$ → 7 values
   • $2 | 0 2 3 4 4 4 6 6 7 8 9$ → 11 values
   • $3 | 0 8$ → 2 values
   • $4 | 1 7 9$ → 3 values
   • Total: $7 + 11 + 2 + 3 = 23$ values.

2. Minimum Value:

   • The minimum value corresponds to the smallest number in the plot.
   • This is in the first row, $1 | 1$, which means the minimum value is 11.

3. Frequency of the Modal Class:

   • The mode is the number that appears most frequently.
   • $2 | 4 4 4$ contains three 24s, which is the most frequent number.
   • Frequency of the modal class (24): 3.

4. Number of Original Values Greater Than 29:

   • Count the numbers from 30 onwards.
   • $3 | 0 8$ → 30, 38 (2 values)
   • $4 | 1 7 9$ → 41, 47, 49 (3 values)
   • Total: $2 + 3 = 5$ values greater than 29.

Final Answers:

1. 23
2. 11
3. 3
4. 5

Would you like more details or have any other questions?

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Here are five related questions:

1. What is the maximum value in the data set?
2. Calculate the range of the data set.
3. How would you find the median of this data set?
4. What is the mean of the data set?
5. How would the stem-and-leaf plot change if the data were grouped differently?

Tip: Stem-and-leaf plots are useful for retaining the original data values while also providing a quick way to see the distribution.