The heights in inches of players on a basketball team are listed on the roster as 64, 67, 68, 66, 68, 64, 79, 73, 72, 77, 80, 82, 69, 70, and 84. Which measure of central tendency best represents this data?

A) The mode (64); it shows that most players on this team are 64 inches.
B) The mode (68); it shows that most players on this team are 68 inches.
C) The median (70); it shows that half the players are taller than 70 inches, and the other half are shorter than 70 inches.
D) The mean (72.2); it shows that the average height is 72.2 inches.

Question

16-10-2025
Mathematics

High School

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The heights in inches of players on a basketball team are listed on the roster as 64, 67, 68, 66, 68, 64, 79, 73, 72, 77, 80, 82, 69, 70, and 84. Which measure of central tendency best represents this data?

A) The mode (64); it shows that most players on this team are 64 inches.
B) The mode (68); it shows that most players on this team are 68 inches.
C) The median (70); it shows that half the players are taller than 70 inches, and the other half are shorter than 70 inches.
D) The mean (72.2); it shows that the average height is 72.2 inches.

Answer :

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bhavyaindrachar88se bhavyaindrachar88se · Answer 1 · 2023-11-13T17:10:28-05:00

Final answer:

The measure of central tendency that best represents the heights of players on a basketball team is the mean, as it provides the average height which is a better representation of the overall data.

Explanation:

This question is related to statistics and in this particular case, we are looking to determine which measure of central tendency (mean, median or mode) best represents the given data concerning the heights of players on a basketball team. From the options you provided, the correct answer is (d), the mean (72.2). This is because the mean provides a better representation of the entire data set as it entails the average of all heights, unlike the mode which only represents the most recurring number in a data set.

However, we must note that the best measure of central tendency depends on the data structure and outline. For instance, in the case of the height data of a statistics class provided, the mode or median might better represent the data if it is skewed or there are outliers (extreme values). But in the context of your basketball team height data, the mean (average height of 72.2 inches) would provide a better depiction of the team's height.

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