Determining the Median for Hours Studied and Slept | Interpretation of Graph

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The discussion revolves around determining the median for hours studied and slept based on a provided graph. The initial interpretation suggested that the median for hours studied was 3 and for hours slept was 6.5. However, ehild clarified that the median is the middle number in an ordered set, explaining the correct median for hours studied is 2 and for hours slept is 7. The participant acknowledged their misunderstanding of the graph and expressed gratitude for the guidance. Accurate interpretation of data is essential for correctly calculating medians.
lionely
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Homework Statement



vown55.png


Attempt :


I think I am interpreting the graph wrongly, the median for the Number of hours studied

should be 3 since only There are people who studied from 1~5 hrs,

and for Number of hours slept it should be (7+6)/2 = 6.5 since people only slept for 4~9 hrs .

I am not sure because the answer is wrong. Please guide me
 
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How is median defined?

ehild
 
Median would be the middle number of a set of numbers that are in order of ascending magnitude.
 
So, in case of hours to study, you have 1 hour 4 times, 2 hours 4 times, 3 hours 3 times,4 hours twice, 5 hours twice. So the set of hours ordered in ascending magnitude is 1,1,1,1,2,2,2,2,3,3,3,4,4,5,5. What is the number at the middle?

ehild
 
Well the middle numbers is 2, and for the hours slept it would be 7 oh so the difference is 5.

Thank you . I was being extremely stupid about reading the graph.
 
You are welcome:smile:

ehild
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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