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
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.
(do not round.)

Explanation:

Step1: Recall median definition

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

Step2: Find the age closest to 50%

Looking at the cumulative - relative frequencies, 48% is the closest value below 50% and it corresponds to age 75, and 68% is the closest value above 50% and it corresponds to age 76. Since we want the value such that half of the data is below it, and 48% is closer to 50% than 68% is, we take the value corresponding to the cumulative - relative frequency closest to but not exceeding 50%.

Answer:

75