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 

(1 point)
Responses

13,000

13,000

14,500

14,500

18,000

18,000

65,000

1 answer

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

  1. Add all the populations together.
  2. Divide the total 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. \[ 20,200 + 14,500 + 18,800 + 9,300 + 2,200 = 64,000 \]

Step 2: Divide the total by the number of regions (which is 5). \[ \text{Mean} = \frac{64,000}{5} = 12,800 \]

Since 12,800 is not one of the options provided, let's check if we have made any errors in the calculations or if we can find the best-fitting option.

Checking the total again:

  • 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 correct total is actually 65,000.

Now, divide by the number of regions: \[ \text{Mean} = \frac{65,000}{5} = 13,000 \]

Thus, the mean population of the regions is 13,000.