A second-grade class has a project to determine how many houses are on the blocks where they live. Formulate
questions that might be asked, how the data might be collected, how it might be analyzed, and how it might be
interpreted.
D. How many houses are on the block where you live?
How might the data be collected?
A. The data will likely be frequency counts.
B. The data will likely be yes or no answers.
C. The data will likely be counts of persons with various numbers of blocks.
D. The data will likely be subjective answers.
A. Frequencies of non-numeric answers may be shown in a histogram.
B. Frequencies may be shown in a bar graph.
C. Frequencies of non-numeric answers may be shown in a bar graph.
D. Frequencies are likely shown in a pie graph.

Question

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**Step 1. Formulating the Question**

The project asks, “How many houses are on the block where you live?” This question requires a numerical answer for each block, since children will count the houses.

**Step 2. Data Collection Method**

The data should be collected by counting the number of houses. This means that for each block a student or teacher goes out and counts, they record a number (for example, $$ n = 12 $$ houses on one block, $$ n = 15 $$ on another, etc.).  
- The appropriate collection method is to record **frequency counts** of the number of houses.  
- This corresponds to option **A. The data will likely be frequency counts.**

**Step 3. Data Analysis**

Once the counts are collected from various blocks, they can be organized to show how many blocks have a particular number of houses. For instance, if the counts from different blocks are tallied, one might have:  
$$
\begin{array}{c|c}
\text{Number of Houses} & \text{Frequency (Number of Blocks)} \
\hline
10 & 3 \
12 & 5 \
15 & 2 \
\end{array}
$$
This table summarizes the frequency distribution of houses counted on each block.

**Step 4. Data Interpretation**

After analyzing the data, you might interpret the results by:  
- Identifying patterns (e.g., does a typical block have around 12 houses?).  
- Comparing results from different parts of the neighborhood.  
- Discussing reasons for differences in counts (such as block size or street layout).

**Step 5. Graphical Representation**

The frequency counts (which are numerical) are most effectively shown using a bar graph.  
- A bar graph displays the number of houses on the horizontal axis and the frequency (number of blocks found with that count) on the vertical axis.  
- This corresponds to option **B. Frequencies may be shown in a bar graph.**

**Summary**

- **Question:** “How many houses are on the block where you live?”
- **Data Collection:** Count the houses (frequency counts; option A).
- **Data Analysis:** Organize the counts into a frequency distribution.
- **Data Interpretation:** Identify patterns and compare across different blocks.
- **Graphical Representation:** Use a bar graph to display the frequency distribution (option B).
**Questions and Data Collection for the Project** 1. **Question:** "How many houses are on the block where you live?" 2. **Data Collection:** - **Method:** Count the number of houses on each block. - **Option:** A. The data will likely be frequency counts. 3. **Data Analysis:** - Organize the counts into a frequency distribution table. 4. **Data Interpretation:** - Identify patterns in the number of houses per block. - Compare results from different blocks. 5. **Graphical Representation:** - Use a bar graph to display the frequency of houses per block. - Option: B. Frequencies may be shown in a bar graph. **Summary:** - **Question:** "How many houses are on the block where you live?" - **Data Collection:** Count the houses (frequency counts). - **Data Analysis:** Create a frequency distribution table. - **Data Interpretation:** Analyze patterns and compare across blocks. - **Graphical Representation:** Use a bar graph to show the data.

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