To determine which team typically has the tallest players, we will compare the two statistical measures of central tendency: the mean and the median. Let's break down each measure for both teams:
### Mean (Average) Height
The mean height is the average height of the players in each team. It is calculated by summing all the heights and then dividing by the total number of players.
- Allstars:
- Mean height ≈ 67.1 inches
- Champs:
- Mean height ≈ 66.4 inches
### Median Height
The median height is the middle value in a sorted list of heights. If the number of players is odd, the median is the middle number. If the number of players is even, the median is the average of the two middle numbers.
- Allstars:
- Median height = 68.0 inches
- Champs:
- Median height = 67.0 inches
### Interpretation of Results
Both the mean and median give us insight into the central tendency of the player heights, but they can differ in what they reveal based on the spread and distribution of the data:
- Mean Heights:
- The Allstars have a mean height of about 67.1 inches.
- The Champs have a mean height of about 66.4 inches.
- The Allstars' mean height is higher than that of the Champs. This suggests that, on average, an Allstar player is taller than a Champ player.
- Median Heights:
- The Allstars have a median height of 68.0 inches.
- The Champs have a median height of 67.0 inches.
- The median height of the Allstars is greater than that of the Champs. The median provides a clearer picture of what a typical height might be, as it is less affected by very tall or very short players compared to the mean.
### Conclusion
In comparing the two measures, both indicate that the Allstars typically have taller players:
- The mean height for the Allstars is higher than that of the Champs, indicating an average player on the Allstars is taller.
- The median height for the Allstars is also higher than that of the Champs, suggesting that a typical player on the Allstars is taller.
Considering both measures of central tendency, we conclude that the Allstars typically have the tallest players. This conclusion is supported by both the mean of about 67.1 inches and the median of about 68 inches, compared to the Champs’ mean of about 66.4 inches and median of about 67 inches.
