From 1950 to 2010, the world population approximately increased by 165%.
The data presented below supports the above statement. The data is presented in three different
forms (table, set of ordered pairs, and a scatter plot graph).
a. Is the statement above correct, based on the data provided? Explain.
b. What format(s) could you use in a presentation to support the above statement? Explain your
selection.
c. What format(s) let you identify better the trendline that better fit the data (linear, exponential,
logarithmic, polynomial, etc.)? Explain your selection
a. Table:
x, year y, world population (billions)
1950 2.6
1960 3.0
1970 3.7
1980 4.5
1990 5.3
2000 6.1
2010 6.9
b. Set of ordered pairs:
{(1950, 2.6), (1960, 3.0), (1970, 3.7), (1980, 4.5), (1990, 5.3), (2000, 6.1), (2010, 6.9)}
(x, y) = (year, population in billions).
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a. The statement above is correct based on the data provided. The world population in 1950 was 2.6 billion and increased to 6.9 billion in 2010. The percentage increase from 1950 to 2010 would be (6.9 - 2.6) / 2.6 * 100% = 165%.
b. In a presentation to support the statement, a table and a scatter plot graph could be used. The table provides a clear and organized way to present the data, showing the population growth over each decade. The scatter plot graph can visually represent the data points and show the trend of population growth over time.
c. In order to identify the trendline that better fits the data, a graph with a logarithmic or exponential trendline can be used. Since population growth tends to increase exponentially due to factors like improved healthcare and technology, an exponential trendline may be a better fit for the data. An exponential trendline would show a more rapid increase in population over time compared to a linear or polynomial trendline.