Questions: Center of Data The center describes the Middle

Transcript text: Center of Data The center describes the Middle

Solution

Solution Steps

Step 1: Identify the middle value

The dot plot shows the ages of the players on the Eagles team. To find the center, we need to look for the middle value in the distribution of ages.

Step 2: Count the dots

There are a total of 10 dots on the plot, representing 10 players.

Age 7: 1 player
Age 8: 2 players
Age 9: 3 players
Age 10: 2 players
Age 11: 3 players
Age 12: 2 players

Step 3: Determine the middle value(s)

Since there are 10 data points (an even number), the center will be between the 5th and 6th values when the ages are arranged in order. Ordering the ages from the dot plot gives us: 7, 8, 8, 9, 9, 9, 10, 10, 11, 12.

The 5th value is 9, and the 6th value is also 9. The average of these two values is (9 + 9)/2 = 9.

Final Answer

\(\boxed{9}\)

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