To find the mean, median, and mode of the life expectancies of the cities listed, let's start with the mean.
### Part 1: Mean
The mean is the average of a set of numbers, calculated by summing all the values and dividing by the count of values.
Given life expectancies:
- Nowhereville: 76.7 years
- Somewhereopolis: 76.7 years
- Kinch City: 80.7 years
- Tortuga: 90.2 years
- Euler Town: 80.7 years
- Godelville: 78.9 years
- Sirap: 80.7 years
**Step 1:** Sum the life expectancies:
\[ 76.7 + 76.7 + 80.7 + 90.2 + 80.7 + 78.9 + 80.7 = 564.6 \]
**Step 2:** Count the number of cities:
\[ 7 \]
**Step 3:** Calculate the mean:
\[ \text{Mean} = \frac{564.6}{7} \approx 80.7 \text{ years} \]
So the mean life expectancy is:
\[ \boxed{80.7 \text{ years}} \]
### Part 2: Median
The median is the middle value in a list of numbers ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.
**Step 1:** Organize the life expectancies in ascending order:
\[ 76.7, 76.7, 78.9, 80.7, 80.7, 80.7, 90.2 \]
**Step 2:** Locate the middle value:
Since there are 7 values, the middle one is the 4th value in the ordered list.
So the median life expectancy is:
\[ \boxed{80.7 \text{ years}} \]
### Mode
The mode is the number that appears most frequently in a dataset.
In the list:
\[ 76.7, 76.7, 78.9, 80.7, 80.7, 80.7, 90.2 \]
The value 80.7 appears three times, more frequently than other values.
So the mode life expectancy is:
\[ \boxed{80.7 \text{ years}} \]
### Summary:
- **Mean:** 80.7 years
- **Median:** 80.7 years
- **Mode:** 80.7 years
The cities with the highest life expectancy are Nowhereville: 76.7 years; Somewhereopolis: 76.7 years; Kinch City: 80.7 years; Tortuga: 90.2 years; Euler Town: 80.7 years; Godelville: 78.9 years; Sirap: 80.7 years. Find the mean, the median, and the mode.
Question content area bottom
Part 1
Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The mean life expectancy is
enter your response here years. (Round to the nearest tenth as needed.)
B.
The mean does not exist.
Part 2
Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The median life expectancy is
enter your response here years. (Round to the nearest tenth as needed.)
B.
The median does not exist.
1 answer