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The data given represents the height of basketball players, in inches, on two different girls' teams. The Allstars have a mean height of about 67.1 inches, and the Champs have a mean height of about 66.4 inches. Which team typically has the tallest players?

a) The Allstars
b) The Champs
c) Both teams have the same average height
d) Not enough information

User Stroblme
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1 Answer

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Final answer:

The Allstars typically have the tallest players because they have a mean height of 67.1 inches, compared to the Champs' mean height of 66.4 inches. In statistical terms, the mean height represents the central average height of the group.

Step-by-step explanation:

The team with the typically tallest players is the Allstars because they have a mean height of about 67.1 inches, which is higher than the Champs' mean height of 66.4 inches. In analyzing heights, the mean is a measure of central tendency that gives us the average height of the group.

Since the Allstars' average height is higher, we conclude that they typically have taller players. Mean height is particularly important in statistical analysis to compare groups. When we look at other scenarios, like the height of basketball players or the given samples from the inquiries, using the mean and standard deviation with the z-score formula can determine how individual measurements compare to a standard distribution.

For example, a z-score informs us how many standard deviations an element is from the mean. Positive z-scores indicate measurements above the mean, while negative z-scores indicate measurements below the mean.

User Wintercounter
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