Exercise 30 reported on a survey of senior year students at M.I.T. who intended to enter the workforce immediately after graduation. Suppose the “number of job offers” relative frequency distribution looked like this:

Number of Offers x               Proportion of Students p(x)

0……………………………………………..            .080

1……………………………………………..            .288

2……………………………………………..            .367

3……………………………………………..            .122

4……………………………………………..            .081

5……………………………………………..            .054

6……………………………………………..            .008

a. Use the relative frequency table to compute the mean number of job offers for the students in the survey.

b. Determine the median number of job offers.

c. Compute the variance and the standard deviation of the job offers data.