The range of the of the ages of the Glee club officers is 5. this means that
a.) the difference of all ages of the officers is 5
b.) one qualifies to be an officer if he is 5 yrs below the mean age.
c.) one qualifies to be an officer if he 5 yrs above the mean age
d.) the difference between the age of the eldest and the youngest officers is 5 yrs.
d.) the difference between the age of the eldest and the youngest officers is 5 yrs.
To determine the correct answer, let's understand what the term "range" means in the context of ages.
In statistics, the range refers to the difference between the highest and lowest values in a set of data. In this case, the range of the ages of the Glee club officers is 5.
With this understanding, let's analyze the answer choices:
a.) The difference of all ages of the officers is 5.
This is not necessarily true. The range does not imply that the difference between all ages is 5. It only indicates the difference between the highest and lowest ages.
b.) One qualifies to be an officer if he is 5 yrs below the mean age.
This is not directly related to the range. The range does not provide information about the mean age or the criteria for qualifying as an officer.
c.) One qualifies to be an officer if he is 5 yrs above the mean age.
This is not directly related to the range either. Again, the range doesn't provide information about the mean age or the criteria for qualifying as an officer.
d.) The difference between the age of the eldest and the youngest officers is 5 yrs.
This statement aligns with the definition of range. The range of 5 indeed represents the difference between the age of the eldest and the youngest officers.
Therefore, the correct answer is d.) the difference between the age of the eldest and the youngest officers is 5 yrs.