Let's go step by step to organize the stem-and-leaf plot and find the range of the data.

Step 1: Organize the Data in Ascending Order

The given numbers are:
54, 60, 61, 62, 62, 71, 72, 74, 76, 78, 82, 83, 84, 86, 87, 90, 92, 95, 95, 99

Step 2: Create the Stem-and-Leaf Plot

A stem-and-leaf plot separates each number into a "stem" (the leading digit) and a "leaf" (the last digit).

Stem-and-Leaf Plot

5 | 4  
6 | 0 1 2 2  
7 | 1 2 4 6 8  
8 | 2 3 4 6 7  
9 | 0 2 5 5 9  

• The stem represents the tens digit (e.g., "6" represents 60-69).
• The leaves are the ones digits of the numbers.

Step 3: Find the Range

The range is calculated as:

$\text{Range} = \text{Maximum value} - \text{Minimum value}$

$= 99 - 54 = 45$

Final Answer

• Stem-and-leaf plot (as shown above)
• Range of the data: 45

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Would you like a more detailed breakdown of how to construct the plot?

Related Questions

1. How do you interpret a stem-and-leaf plot?
2. What are the advantages of using a stem-and-leaf plot over a histogram?
3. Can a stem-and-leaf plot show measures of central tendency (mean, median, mode)?
4. How do you create a back-to-back stem-and-leaf plot for comparing two data sets?
5. How can outliers affect the range of a data set?

Tip: Always double-check that every number is included in the stem-and-leaf plot to avoid missing data points.