Let's analyze the stem-and-leaf plot you provided.

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

Each digit in the "leaf" section represents an individual data value. Let's count the number of digits (values) for each stem:

• For stem 2: $0013346778$ — 10 digits
• For stem 3: $01113334555789$ — 14 digits
• For stem 4: $01599$ — 5 digits
• For stem 5: $127$ — 3 digits

Total number of data values = 10 + 14 + 5 + 3 = 32

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

The last class has the stem of 5, and the smallest leaf in this class is 1. So the minimum value in the last class is: $51$

3. What is the range?

• The minimum value in the data set is the smallest number in the first class (stem 2): $20$.
• The maximum value in the data set is the largest number in the last class (stem 5): $57$.

Range is calculated as: $\text{Range} = \text{Maximum value} - \text{Minimum value} = 57 - 20 = 37$

4. How many of the original values are greater than 40?

All values with a stem of 4 or 5 are greater than 40:

• Stem 4: $01599$ — 5 values
• Stem 5: $127$ — 3 values

Total values greater than 40 = 5 + 3 = 8

Summary of answers:

1. Number of data values = 32
2. Minimum value in the last class = 51
3. Range = 37
4. Values greater than 40 = 8

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Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. How would the median value be determined from this stem-and-leaf plot?
2. What is the mode of the data set?
3. How can we determine the mean value from a stem-and-leaf plot?
4. How would the data distribution be described (e.g., symmetric, skewed)?
5. How does the stem-and-leaf plot compare to a histogram for visualizing this data?

Tip: A stem-and-leaf plot is a great tool for quickly identifying the shape of a data distribution and the range of values.