Let's start by examining the heights of the players:
Super Stars:
```
66, 66, 66
63, 63, 63
65, 65, 65
64, 64, 64
58, 58, 58
```
Champs:
```
62, 69, 65
68, 60, 70
70, 58, 67
66, 75, 70
69, 67, 60
```
### Step-by-Step Solution:
1. Identifying the Correct Measure of Center:
- The measure of center that is generally most useful for comparing the typical height of players in this scenario is the mean (average) height. This is because the mean takes into account all the values and gives a central tendency for the dataset.
2. Calculating the Mean Height:
- For the Super Stars:
- Sum of Heights: [tex]\(66 + 66 + 66 + 63 + 63 + 63 + 65 + 65 + 65 + 64 + 64 + 64 + 58 + 58 + 58 = 948\)[/tex]
- Number of Players: [tex]\(15\)[/tex]
- Mean Height: [tex]\(\frac{948}{15} = 63.2\)[/tex] inches
- For the Champs:
- Sum of Heights: [tex]\(62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60 = 996\)[/tex]
- Number of Players: [tex]\(15\)[/tex]
- Mean Height: [tex]\(\frac{996}{15} = 66.4\)[/tex] inches
### Conclusion:
By comparing the mean heights of both teams, we can determine that the Champs have a higher mean height of 66.4 inches compared to the Super Stars with a mean height of 63.2 inches. Therefore, the Champs typically have the tallest players based on the mean height.
This method of using the mean accurately reflects the overall central tendency of each team’s players' heights, making it a reliable measure to compare the typical height of players between the two teams.
