Question

suppose that the cumulative relative frequency table below shows the data on male life
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 year
75 years (do not round.)
< feedback
sorry, thats incorrect.
you have calculated the mean age in
the cumulative relative frequency table.
the median is the middle data value
that divides a data set into two equal
parts. given the cumulative relative
frequencies for each age, find the life
expectancy age that corresponds to the
50th percentile.

Explanation:

Step1: Recall median definition

The median is the 50th - percentile value.

Step2: Locate 50th - percentile range

We look at the cumulative - relative frequencies. At age 74, the cumulative relative frequency is 30%, and at age 75, it is 48%, and at age 76, it is 68%.

Step3: Determine the median

Since the 50th - percentile lies between the cumulative relative frequencies of 48% (at age 75) and 68% (at age 76), and we want the value closest to the 50th - percentile, the median male life expectancy is 75 years.

Answer:

75