Question

In: Statistics and Probability

The total population of the United States was 151, 325, 798 in 1950; it increased to...

The total population of the United States was 151, 325, 798 in 1950; it increased to 281,421,906 in 2000 and to 308,745,538 in 2010.

Find the percent change in population of the US from 1950 to 2010.

Solutions

Expert Solution

We have given,

The total US population in 1950 was 151,325,798

The total US population in 2000 was 281,421,906

The total US population in 2010 was 308,745,538

We are asked to find the percentage change the US population from 1950 to 2010

Percentage change is calculated using below formula,

% change = (New - Old) / old x 100

Therefore, % change in the US population from 1950 to 2000 = (The total population in 2000 - The total population in 1950) / The total population in 1950 x 100

= (281,421,906 - 151,325,798) / 151,325,798 x 100

= 130,096,108 / 151,325,798 x 100

= 85.97%

Therefore, % change in the US population from 2000 to 2010 = (The total population in 2010 - The total population in 2000) / (The total population in 2000) x 100

= (308,745,538 - 281,421,906) / (281,421,906) x 100

= 27,323,632 / (281,421,906) x 100

= 9.71%

Therefore, % change in the US population from 1950 to 2010 = (The total population in 2010 - The total population in 1950) / (The total population in 1950) x 100

= (308,745,538 - 151,325,798) / (151,325,798) x 100

= 157,419,740 / (151,325,798) x 100

= 104.03%

Therefore, the percent change in population of the US from 1950 to 2010 is 104.03%


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