Need help with these math questions.
1. Picture of histogram: https://oli.cmu.edu/repository/webco...LMS/image2.png
The questions are:
For the above histogram, which estimates of the mean and median are most reasonable?
A: median and mean both between 10-12 hours, with the mean larger than the median
B:median between 10-12 hours, mean between 2-4 hours
C:median between 6-8 hours, with the mean between 14-16 hours
D:median and mean both between 6-8 hours, with the mean larger than the median
#2 Picture of histogram: https://oli.cmu.edu/repository/webco...LMS/image2.png
The questions are: Which statement below is most accurate in describing the center of the distribution of study hours?
A.The median should be used to describe the center, because the values on the horizontal axis can be split exactly in the middle.
B.The median should be used to describe the center because, since the data is skewed, the middle outcome may more accurately describe a typical value in the distribution.
C.The mean should be used to describe the center because the data is roughly symmetric.
D.The mean should be used to describe the center because it may produce a decimal value, which is more accurate than the median.
#3 Final question: https://oli.cmu.edu/repository/webco...LMS/image3.png
The questions are: Which is the most appropriate description of how to determine a typical faculty response for this distribution?
A. Use the mean rating, but remove the 3 faculty members with low ratings first. These are outliers and will impact the mean, so they should be omitted.
B. The median is 8. The mean will be lower because the ratings are skewed to the left. For this reason, the median is a better representation of the typical job satisfaction rating.
C. The median is 5. Most faculty have higher ratings, so the mean is close to 8. For this reason the mean is a better representation of a typical faculty member.
D. Faculty that make more money have higher job satisfaction. For this reason the mean will not represent the typical faculty member.