Is the five-number summary or the mean and standard deviation a better brief sum

Question

Is the five-number summary or the mean and standard deviation a better brief summary for this distribution? Explain your choice. Which of the following is likely to have a mean that is smaller than the median? the salaries of all National Football League players the scores of students (out of 100 points) on a very easy exam in which most score perfectly, but a few do very poorly the prices of homes in the city of Detroit the scores of students (out of 100 points) on a very difficult exam in which most score poorly, but a few do very well After the physical training required during World War II, the distribution of mile run times for male students at the University of approximately Normal with mean 7.11 minutes and standard deviation 0.74 minutes. Use the 68-95-99.7 rule to estimate the answers each of the following questions. What proportion of these students could run a mile in 9.33 minutes or less?

Explanation / Answer

7.

option 1 , 3 are out as no skew is shown

2 is the option were this will occur. Since most freq is higher than the part who scored poorly, we have median>mean.

4th option, mean>median and not the other wayround

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