Heights of a group of male professional athletes,half of whom are gymnasts and half of whom are basketball players.
A) The distribution would likely be unimodal and slightly skewed right.The average height of the gymnasts and basketball players would be about the same.The distribution would be slightly skewed to the right,since it is possible to have some exceptionally tall basketball players.
B) The distribution would likely be uniform,with heights of the professional athletes evenly distributed.
C) The distribution would likely be bimodal and slightly skewed right.The average height of the gymnasts would be at one mode,and the average height of the basketball players would be at the other mode,since basketball players are taller than gymnasts.The distribution would be slightly skewed to the right,since it is possible to have some exceptionally tall basketball players,and it is less likely that the heights of gymnasts would vary significantly.
D) The distribution would likely be bimodal and slightly skewed left.The average height of the gymnasts would be at one mode,and the average height of the basketball players would be at the other mode,since basketball players are taller than gymnasts.The distribution would be slightly skewed to the left,since it is possible to have some exceptionally tall basketball players,and it is less likely that the heights of gymnasts would vary significantly.
E) The distribution would likely be unimodal and symmetric.The average height of the gymnasts and basketball players would be about the same.The distribution would be symmetric,since it is possible to have some exceptionally tall basketball players,and exceptionally short gymnasts.
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