suppose the average height of palm trees at a beach is 20 feet, with a standard deviation of 3 feet. suppose…

suppose the average height of palm trees at a beach is 20 feet, with a standard deviation of 3 feet. suppose a hurricane comes through, and afterward, every tree grows exactly 5 feet. how would this affect the standard - deviation of the tree heights?\na) standard deviation will decrease.\nb) standard deviation will become 5.\nc) standard deviation will stay the same.\nd) standard deviation will increase.

suppose the average height of palm trees at a beach is 20 feet, with a standard deviation of 3 feet. suppose a hurricane comes through, and afterward, every tree grows exactly 5 feet. how would this affect the standard - deviation of the tree heights?\na) standard deviation will decrease.\nb) standard deviation will become 5.\nc) standard deviation will stay the same.\nd) standard deviation will increase.

Answer

Explanation:

Step1: Understand standard deviation concept

Standard deviation measures spread of data.

Step2: Analyze hurricane - all trees grow equally

If every tree grows exactly the same amount, the relative distances between the tree - heights remain unchanged.

Step3: Determine effect on standard deviation

Since the spread of the data (relative differences between values) does not change, the standard deviation stays the same.

Answer:

Standard deviation will stay the same.