THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A consumer group wanted to examine how long different life bulbs last.They selected three different light bulbs (60 watt,75 watt and 100 watt)from four different manufacturers.They generated the following statistics from the data.

-What is the value of "H"?
A)3.66
B)2.95
C)1.24
D)0.81

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A consumer group wanted to examine how long different life bulbs last.They selected three different light bulbs (60 watt,75 watt and 100 watt)from four different manufacturers.They generated the following statistics from the data.
 
-What is the value of "H"?
A)3.66 
B)2.95 
C)1.24 
D)0.81

Quizplus · Accepted Answer

The "H" value represents the range of the data. To calculate it, you need to divide the difference between the largest and smallest values by the mean. In this case, for the 60 watt bulb, the range is 800 - 400 = 400, and the mean is (800+400)/2 = 600. So H = 400/600 = 0.66. Doing the same calculation for the other bulbs and manufacturers, we get:

60 watt: H = 0.66
75 watt: H = 0.49
100 watt: H = 0.97

The highest H value is for the 100 watt bulb, so it has the largest range of the data. Therefore, it is not the best choice. The lowest H value is for the 75 watt bulb, so it has the smallest range of the data, making it the most consistent choice. Thus, the best choice is the 75 watt bulb.