MHB Could use some help for this statistics/math problem

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The discussion revolves around two statistics questions that require clarification. For the first question regarding a histogram, contributors agree that the value for the 31-40 interval should be rounded to 4, as the vertical axis represents whole numbers. The second question pertains to identifying the distribution shape, with input suggesting it is left-skewed. The original poster expresses confusion but appreciates the guidance received. Overall, the thread emphasizes the importance of interpreting histogram data accurately.
kimchuu
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Hello Everyone!
I really need help on 2 questions and it is due tomorrow! So please help me when u can and ASAPhttps://mathhelpboards.com/attachments/1653533132259-png.11810/

So for this one, this was easy, except for the 31-40 interval I'm not sure if it's 4.5, cause it's not necessarily exactly between and half of 4 and 5 and for the 41-50 interval I'm not sure if its actually a 3 and its somewhat confusing. Does anyone care to enlighten me?

https://mathhelpboards.com/attachments/1653533246775-png.11811/

For this one, I am also confused. For my answer I believe it is approximately symmetric, you know what I did? So I did like what you usually do I add and replace the bars so all of them can look symmetric,
and then for the last one it stays as 12 and if I break/divide it by 2, you get 6, and that will be perfectly symmetric. The thing is I don't know if my thesis is correct.
PLEASE KINDLY
HELP ME ASAP
 
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Hi kimchuu,

Question 1

I agree with you that this histogram is difficult to read. The bar for 31-40 is indeed above 4 slightly. The thing to keep in mind here is that the vertical axis represents number of players, which can't be a decimal value like 4.5. Unfortunately, this graph is not the best. It is up to you whether to choose 4 or 5 as the value for the 31-40 range, but I would say it's 4.

Question 2

This is an example of a left-skewed distribution. See image below.

histogram-shapes.png
 
GJA said:
Hi kimchuu,

Question 1

I agree with you that this histogram is difficult to read. The bar for 31-40 is indeed above 4 slightly. The thing to keep in mind here is that the vertical axis represents number of players, which can't be a decimal value like 4.5. Unfortunately, this graph is not the best. It is up to you whether to choose 4 or 5 as the answer, but I would say it's 4.

Question 2

This is an example of a left-skewed distribution. See image below.

View attachment 11812
Oh yeah, I guess I got kinda confused for question 2, thank you!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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