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.

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Part 1
Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1 answer

To find the mean life expectancy of the given cities, we will add all the life expectancies together and divide by the number of cities.

1. Add the life expectancies:
\[ 76.7 + 76.7 + 80.7 + 90.2 + 80.7 + 78.9 + 80.7 \]

2. Calculate the sum:
\[ 76.7 + 76.7 + 80.7 + 90.2 + 80.7 + 78.9 + 80.7 = 564.6 \]

3. Count the number of cities:
There are 7 cities.

4. Divide the sum by the number of cities to find the mean:
\[ \frac{564.6}{7} = 80.657 \quad \text{(rounded to three decimal places)}\]

The mean life expectancy is approximately \( 80.657 \) years.

So, the correct choice is:
\[ \text{The mean is approximately } 80.657 \text{ years}. \]