Use the data in the following table to compare the number of people living in the United States from 1810 through 1900 and the number living in the United States from 1910 through 2000. Use any form of graphical representation to make the comparison and explain why you chose the representation that you did.
Number Year (thousands)
1810 7,239
1820 9,638
1830 12,866
1840 17,068
1850 23,191
1860 31,443
1870 38,558
1880 50,189
1890 62,979
1900 76,212
1910 92,228
1920 106,021
1930 123,202
1940 132,164
1950 151,325
1960 179,323
1970 203,302
1980 226,542
1990 248,765
2000 281,422
I would recommend choosing a semilogartihmic graph. The y axis would be proportional to the log of the population, which should cover a 1000 to 100,000 range (thousands). The x axis should be the year and linearly cover 1800 to 2000. The reasons for this choice will be obvious when you make the plot: an approximately constant growth rate is expected, with a fairly straight line.
Thank you for your help. I didn't know what semilogartihmic was but I googled it and I think I understand. I'm not good with making graphs and stuff on the computer so I guess I will try to write it down and then scan it.
To compare the number of people living in the United States from 1810 through 1900 and the number living in the United States from 1910 through 2000, we can use a line graph.
A line graph is a suitable choice for this comparison because it can visually show the change in population over time, allowing us to observe any trends or patterns.
Here's how you can create the line graph:
1. Prepare the data:
- Create two separate lists for the years (x-axis) and the corresponding population numbers (y-axis) for each time period.
- For example, for the years 1810 through 1900, the x-axis values would be [1810, 1820, 1830, ..., 1900], and the y-axis values would be [7,239, 9,638, 12,866, ..., 76,212].
- Similarly, for the years 1910 through 2000, the x-axis values would be [1910, 1920, 1930, ..., 2000], and the y-axis values would be [92,228, 106,021, 123,202, ..., 281,422].
2. Plot the data:
- Use a graphing software or a spreadsheet program like Microsoft Excel, Google Sheets, or any other tool that allows you to create line graphs.
- Input the x-axis and y-axis data for both time periods in separate columns.
- Select the data and choose the "Line Graph" or "XY Scatter" chart type.
3. Customize the graph:
- Label the x-axis as "Year" and the y-axis as "Population (thousands)"
- Add a title to the graph such as "Comparison of US Population: 1810-1900 vs. 1910-2000."
4. Interpret the graph:
- Analyze the line graph to make observations and draw interpretations.
- Look for trends, such as the overall growth rate of the population over time and any significant changes or fluctuations.
- Compare the two time periods by examining the slope of the lines, the steepness of the increase, and any differences in the level of population at specific points in time.
By using a line graph, you can visually compare the number of people living in the United States from 1810 through 1900 and 1910 through 2000, allowing for an easily understandable representation of population changes over time.