I need help with 4-6 and 7 I'm writing below.7. You are collecting data on income level. Why is it important to use median income versus meanincome? Why would you expect to mean income to be higher than the median?

Researchers looking at the relationship between the type of college attended ( public or private ) and achievement gather the following data on 3265 people who graduated from college in the came year. The variable "management level" describes their job description 20 years after graduating from college. Type of College Private 182 17560 Public 107 . 794 1327 Management level High 1075 962 595 Medium 32095 732 4. Low 1496 91709 Calculate the marginal distribution of management level in percents. High = 182/3205 0 : 05 57 = 5.57% medium = 1750 / 3245 = 0.5378 = 53. 78% Low = 1327 / 3205 = 0 . 40 64 = 40. 04%. Find the conditional distribution of management level for each college type, in percents. public Private High 75 / 17 69 = 4.24 % 107 /1490 = 7.15 % medium 932 1 1709 = 52.69% 794 / 1490 = 53.07 % Low 732 / 17 09 = 41 . 38% 395 / 14960 = 39 . 77 % 6. Write a brief description about what the information in 5 tells you about the relationship, if any, between the two variables. 56. 94 % of students who graduated from public University are are more likely to have high- medium magement level but 40. 32 for private