The table below shows the number of hours high school students of different cities of two states spend on surfing the internet each week.

State A:35,36,35,34,35,38,36,36,38
State B:24,22,20,50,25,24,65,25,26

Questions:
1.Why is the histogram for State A different in shape, center, and spread than the histogram or State B?
2.In which state did the students spend more average time on surfing the internet? Justify your answer.

Question

The table below shows the number of hours high school students of different cities of two states spend on surfing the internet each week.

State A:35,36,35,34,35,38,36,36,38
State B:24,22,20,50,25,24,65,25,26

Questions:
1.Why is the histogram for State A different in shape, center, and spread than the histogram or State B?
2.In which state did the students spend more average time on surfing the internet? Justify your answer.

anonymous · Answer

@Directrix can you help me, please?

directrix · Answer

I did not draw the histograms.

The scores in State A have little variabilty; they are between 34 and 38. The histogram will not have much spread. The mean time for State A is 35.89. State A's histogram will be taller and skinnier than that of State B.

The scores in State B have great variability; they are between 20 and 65. The histogram will have much more spread that the one for State A. The mean time for state B is 31.22. The mean is sensitive to extreme data points. The 65 and 50 take the mean up higher than what really reflects the data set. 

In observation, that's about all I see. I think box plots would better reflect what is happening with the data but the question asks about histograms.