suppose that the frequency table below contains data on female life expectancy at birth in 73 randomly…
suppose that the frequency table below contains data on female life expectancy at birth in 73 randomly selected countries. use the table to determine the median life expectancy for females in these 73 countries. median = years (do not round)\nage frequency\n70 1\n71 2\n72 4\n73 7\n74 6\n75 7\n76 8\n77 16\n78 22
Answer
Explanation:
Step1: Calculate cumulative frequencies
| Age | Frequency | Cumulative Frequency |
|---|---|---|
| 70 | 1 | 1 |
| 71 | 2 | 1 + 2=3 |
| 72 | 4 | 3+4 = 7 |
| 73 | 7 | 7+7 = 14 |
| 74 | 6 | 14+6 = 20 |
| 75 | 7 | 20+7 = 27 |
| 76 | 8 | 27+8 = 35 |
| 77 | 16 | 35+16 = 51 |
| 78 | 22 | 51+22 = 73 |
Step2: Determine the position of the median
Since (n = 73) (an odd - numbered data set), the position of the median is (\frac{n + 1}{2}=\frac{73+1}{2}=37)th value.
Step3: Find the median
The cumulative frequency just greater than 37 is 51, which corresponds to an age of 77.
Answer:
77