Select Yes or No to state whether each data set is likely to be normally distributed.
the numbers on the jerseys of the players in a basketball league
my answer:yes
the heights of the players in a basketball league
my answer:yes
the lengths of the basketball courts in a basketball league
my answer:no
the lengths of the arm spans of the players in a basketball league
my answer:yes
To determine whether each data set is likely to be normally distributed, you can consider a few factors.
1. The numbers on the jerseys of the players in a basketball league:
This is likely not to follow a normal distribution since jersey numbers are typically assigned in a non-random manner, such as based on the player's position or seniority.
2. The heights of the players in a basketball league:
Height is a characteristic that tends to follow a normal distribution in a population. Therefore, it is reasonable to assume that the heights of the players in a basketball league are likely to be normally distributed.
3. The lengths of the basketball courts in a basketball league:
The lengths of basketball courts are typically standardized and regulated, meaning there is little variation. As a result, this data set is unlikely to be normally distributed.
4. The lengths of the arm spans of the players in a basketball league:
Arm spans, like heights, tend to follow a normal distribution as they are influenced by genetics and growth patterns. Therefore, it is likely that the lengths of the arm spans of the players in a basketball league are normally distributed.
So, based on these considerations, your answers are:
1. No, the data set of jersey numbers is unlikely to be normally distributed.
2. Yes, the data set of player heights is likely to be normally distributed.
3. No, the data set of court lengths is unlikely to be normally distributed.
4. Yes, the data set of arm span lengths is likely to be normally distributed.
For the first data set, the numbers on the jerseys of the players in a basketball league, it is unlikely to be normally distributed. The numbers on the jerseys are typically assigned sequentially to each player and do not have any inherent numerical relationship, which is a key characteristic of a normally distributed variable.
For the second data set, the heights of the players in a basketball league, it is likely to be normally distributed. Heights tend to follow a normal distribution in large populations.
For the third data set, the lengths of the basketball courts in a basketball league, it is unlikely to be normally distributed. Lengths of basketball courts are typically standardized and do not vary significantly within a league.
For the fourth data set, the lengths of the arm spans of the players in a basketball league, it is likely to be normally distributed. Arm spans of individuals tend to follow a normal distribution in large populations.