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 a life expectancy 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: \[ \text{Median} = 79 \]