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How do you estimate the age at marriage for males in 1995 by using linear interpolation between the 1990 and 2000 data points if in 1990 the median age was 26.1 and in 2000 it was 26.8?

Answer 1

Since 1995 is exactly the halfway from 1990 to 2000, linear interpolation gives an average between 26.1 and 26.8, which is 26.45.

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Answer 2

Kennedy Adams

To estimate the age at marriage for males in 1995 using linear interpolation:

Calculate the slope (rate of change) between the two data points: Slope = (26.8 - 26.1) / (2000 - 1990) = 0.7 / 10 = 0.07 years per year.
Use the slope to find the change in age from 1990 to 1995: Change in age = Slope * (1995 - 1990) = 0.07 * 5 = 0.35 years.
Add the change in age to the 1990 median age: Estimated age in 1995 = 26.1 + 0.35 = 26.45 years.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.