Question

What can be inferred if the Range of one data set is higher than other derived from the same experiment?

• A. Values are scattered farther in $1^{st}$ case compared to $2^{nd}$ case
• B. Maximum value of $1^{st}$ case > maximum value in $2^{nd}$case
• C. Minimum value of $1^{st}$ case > minimum value in $2^{nd}$ case
• D. Difference between maximum and minimum in $1^{st}$ case is greater compared to $2^{nd}$ case

Answer 1

Answer: (A), (D)

The correct options are
A

Values are scattered farther in $1^{st}$ case compared to $2^{nd}$ case

D

Difference between maximum and minimum in $1^{st}$ case is greater compared to $2^{nd}$ case

Clearly,
{Maximum value - minimum value in $1^{st}$ case > {maximum value - minimum value in $2^{nd}$ case }
As per the definition of Range.
We can infer the values in $1^{st}$ case are spread over a greater separation of maximum and minimum values
We can make no inference about maximum and minimum values from the Range. Only the difference can be known.

Therefore, options a and d.