Questions: The mayor of a small town is trying to determine the change in population of his town over time. Which type of graph would best represent the data in the table? Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650 bar graph line graph line plot stem and leaf plot

The mayor of a small town is trying to determine the change in population of his town over time. Which type of graph would best represent the data in the table? Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650 bar graph line graph line plot stem and leaf plot
Transcript text: The mayor of a small town is trying to determine the change in population of his town over time. Which type of graph would best represent the data in the table? \begin{tabular}{|c|c|} \hline Year & Population \\ \hline 1990 & 10,350 \\ \hline 1995 & 10,750 \\ \hline 2000 & 11,150 \\ \hline 2005 & 11,500 \\ \hline 2010 & 11,650 \\ \hline \end{tabular} bar graph line graph line plot stem and leaf plot
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Solution

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Solution Steps

Step 1: Understand the Data

The data provided is a time series showing the population of a town at different years. The goal is to determine which type of graph best represents the change in population over time.

Step 2: Analyze the Graph Options
  1. Bar Graph: Typically used to compare quantities across different categories. Not ideal for showing changes over time.
  2. Line Graph: Ideal for displaying data points over time, showing trends or changes.
  3. Line Plot: Similar to a line graph but often used for smaller data sets or individual data points.
  4. Stem and Leaf Plot: Used for displaying quantitative data to show its distribution. Not suitable for time series data.
Step 3: Determine the Best Graph Type

Given that the data is a time series and we want to show the change in population over time, a line graph is the most appropriate choice. It effectively displays trends and changes over a period.

Final Answer

\(\boxed{\text{line graph}}\)

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