Life Expectancy Life expectancy for all the different countries in the world ranges from a low of only 45.6 years (in Sierra Leone) to a high of 83.8 years (in Hong Kong). Life expectancies are clustered at the high end, with about half of all the countries having a life expectancy between about 74 and the maximum of 83.8 . A few countries, such as Sierra Leone, have a very low life expectancy. The full dataset is in AllCountries. I From the information given, estimate the median of the life expectancies. (b) Found your answer to the nearest integer. Redian = i

To estimate the median of the life expectancies based on the information provided, we can follow these steps: 1. **Identify the range of life expectancies**: - The lowest life expectancy is 45.6 years (Sierra Leone). - The highest life expectancy is 83.8 years (Hong Kong). 2. **Determine the clustering of life expectancies**: - It is mentioned that about half of all countries have a life expectancy between approximately 74 years and the maximum of 83.8 years. 3. **Estimate the median**: - Since the median is the middle value in a sorted list of numbers, and given that half of the countries have life expectancies between 74 and 83.8, we can estimate the median to be around the midpoint of this range. 4. **Calculate the midpoint**: - The midpoint can be calculated as follows: \[ \text{Midpoint} = \frac{74 + 83.8}{2} \] Now, let's calculate the midpoint. \[ \text{Midpoint} = \frac{74 + 83.8}{2} = \frac{157.8}{2} = 78.9 \] 5. **Round to the nearest integer**: - Rounding 78.9 to the nearest integer gives us 79. Thus, the estimated median of the life expectancies, rounded to the nearest integer, is **79**.