The cities with the highest life expectancy are​ Nowhereville: 78.4 ​years; Somewhereopolis: 78.4 ​years; Kinch​ City: 90.8 ​years; Tortuga: 82.6 ​years; Euler​ Town: 85.6 ​years; Godelville: 82.6 ​years; Sirap: 78.4 years. Find the​ mean, the​ median, and the mode.

Answer 1

To find the mean, median, and mode of the life expectancies for the cities listed, we'll first organize and manipulate the data accordingly.

### Data:
Nowhereville: 78.4 years
Somewhereopolis: 78.4 years
Kinch City: 90.8 years
Tortuga: 82.6 years
Euler Town: 85.6 years
Godelville: 82.6 years
Sirap: 78.4 years

### Step 1: Mean
The mean is the average of the life expectancies.

To find the mean:
1. Add up all the life expectancies.
2. Divide by the number of cities.

Sum: \( 78.4 + 78.4 + 90.8 + 82.6 + 85.6 + 82.6 + 78.4 \)

Calculate the sum:
\[ 78.4 + 78.4 + 90.8 + 82.6 + 85.6 + 82.6 + 78.4 = 576.8 \]

Divide by the number of cities (7):
\[ \frac{576.8}{7} = 82.4 \]

So, the mean life expectancy is 82.4 years.

### Step 2: Median
The median is the middle value when the life expectancies are ordered from least to greatest.

Ordered Life Expectancies:
\[ 78.4, 78.4, 78.4, 82.6, 82.6, 85.6, 90.8 \]

The median is the fourth value in this list (since there are 7 values):
\[ Median = 82.6 \]

So, the median life expectancy is 82.6 years.

### Step 3: Mode
The mode is the value(s) that appear most frequently in the list.

From the ordered life expectancies:
\[ 78.4, 78.4, 78.4, 82.6, 82.6, 85.6, 90.8 \]

The value 78.4 appears three times, which is more frequent than any other value.

So, the mode life expectancy is 78.4 years.

### Summary:
- **Mean:** 82.4 years
- **Median:** 82.6 years
- **Mode:** 78.4 years