Question

suppose that the cumulative relative frequency table below shows the data on male life expectancy at birth in various countries. age cumulative relative frequency 69 3% 70 6% 71 11% 72 15% 73 20% 74 30% 75 48% 76 68% 77 100% determine the median male life expectancy in these countries in whole numbers of years. years (do not round.)

Explanation:

Step1: Recall median definition

The median is the value for which 50% of the data lies below it.

Step2: Locate closest cumulative relative - frequency

We look for the age value such that the cumulative relative frequency is closest to 50%. The cumulative relative frequency of 48% is at age 75 and 68% is at age 76. Since 48% is less than 50% and 68% is greater than 50%, we need to interpolate. But if we are asked for a whole - number answer, we note that when the cumulative relative frequency just crosses 50%, the age is 76.

Answer:

76