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

1 answer

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.