Question

the following table of data from a bureau of the census gives the median age of a man at the time of his first marriage.
year 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010
median age 25.2 24.7 24.5 24.3 22.8 22.8 23.7 24.8 26.4 26.6 27.7
what is the average rate of change over the 100 - year period described in the table?
the average rate of change over the 100 - year period described in the table is years of age/yr (type an integer or a decimal. round to three decimal places as needed.)

Explanation:

Step1: Identify the initial and final values

The initial year is 1910 with a median age of 25.2, and the final year is 2010 with a median age of 27.7.

Step2: Use the average - rate - of - change formula

The formula for the average rate of change is $\frac{\text{Change in median age}}{\text{Change in years}}$. The change in years is $2010 - 1910=100$, and the change in median age is $27.7 - 25.2 = 2.5$.
So the average rate of change is $\frac{27.7 - 25.2}{2010 - 1910}=\frac{2.5}{100}=0.025$.

Answer:

$0.025$