Questions: The stem-and-leaf plot shows house sale prices over the last week in Tacoma. The stem is in hundreds of thousands of dollars. The leaf is in tens of thousands of dollars.
What is the price of the most expensive house sold?
0 667778999
1 02447778889999
2 0011234445667889
3 00011227
Transcript text: Home > MAT 146-48Z2 Fall 2024 > Assessment
Homework R. Statistics: Representing Data
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The stem-and-leaf plot shows house sale prices over the last week in Tacoma. The stem is in hundreds of thousands of dollars. The leaf is in tens of thousands of dollars.
What is the price of the most expensive house sold?
\[
\begin{array}{l}
0 \mid 667778999 \\
1 \mid 02447778889999 \\
2 \mid 0011234445667889 \\
3 \mid 00011227
\end{array}
\]
\$ $\square$
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Solution
Solution Steps
Step 1: Identify the Key or Scale
The stem unit represents 100000, and the leaf unit represents 10000. This means each stem value should be multiplied by 100000 to get its actual value, and each leaf should be multiplied by 10000 relative to its stem.
Step 2: Read the Plot
For finding the most expensive house, we look at the highest stem and its highest leaf. In this case, the highest stem is 3 with the leaf 7.
Step 3: Calculate the Value
The value of the most expensive house is calculated by multiplying the stem value (3) by its unit (100000) and adding the product of the leaf value (7) and its unit (10000). Thus, the value is 370000.
Final Answer:
The most expensive house is approximately $370000.