Question

The populations of several different regions of a state are shown. Find the mean of the data.

region 1: 20,200
region 2: 14,500
region 3: 18,800
region 4: 9,300
region 5: 2,200

answers:

13,000

14,500

18,000

65,000

Answer 1

To find the mean of the populations of the regions, you need to follow these steps:

1. **Add all the populations together.**
2. **Divide the sum by the number of regions.**

Here are the populations:

- Region 1: 20,200
- Region 2: 14,500
- Region 3: 18,800
- Region 4: 9,300
- Region 5: 2,200

**Step 1: Calculate the total population.**

\[
\text{Total} = 20,200 + 14,500 + 18,800 + 9,300 + 2,200
\]

Calculating that:

\[
20,200 + 14,500 = 34,700
\]
\[
34,700 + 18,800 = 53,500
\]
\[
53,500 + 9,300 = 62,800
\]
\[
62,800 + 2,200 = 65,000
\]

So, the total population is **65,000**.

**Step 2: Divide the total by the number of regions.**

There are 5 regions.

\[
\text{Mean} = \frac{\text{Total}}{\text{Number of Regions}} = \frac{65,000}{5} = 13,000
\]

Thus, the mean population is **13,000**. The correct answer is:

**13,000.**