Evan collected data about the amount of time each student in his math class spends studying. If the range of these data is 2, what does this reveal about the data?

All the students in his math class spend exactly 2 hours studying.
All the students in his math class spend an average of 2 hours studying.
The smallest and largest data values are 2 units away from each other.
The middle data value for time spent studying by all students in his class is 2 hours.

Question

Evan collected data about the amount of time each student in his math class spends studying. If the range of these data is 2, what does this reveal about the data?

 All the students in his math class spend exactly 2 hours studying.
 All the students in his math class spend an average of 2 hours studying.
 The smallest and largest data values are 2 units away from each other.
 The middle data value for time spent studying by all students in his class is 2 hours.

vocaloid · Answer

range = largest data value minus smallest data value

anonymous · Answer

u there?

anonymous · Answer

@Vocaloid  it doesnt tell me the largest and smallest data value.

vocaloid · Answer

you don't need to know the largest and smallest data value, please read the question and answer choices again

ciarán95 · Answer

When we refer to the 'range' of any data set, we are talking about the spread of ALL of the values that are part of it, not confined to any specific section or values. 

So, that means that the range is the difference between the smallest and largest data values, in whatever units the data was measured in. 

If we wanted to work out the range then we would indeed need to know the smallest and largest values in the set, but we do not need to do that here as we are told the value in the question.