A sample of students were asked to rank their looks compared

A sample of students were asked to rank their looks compared to the looks of others on a scale from 1 to 10. A 10 means they feel they are more attractive than everyone else while a 1 means they feel they are less attractive than everyone else. The data is below:

n=42 mean= 6.5 SD= 1.991

a) Estimate the average rank ALL students would give themselves based on their looks.

(need mean of ALL students not the 42 sampled here)

Solution

2 + 3*3 + 4 +7* 5 + 10*6 + 8*7 + 5*8 + 3*9 + 4*10 = 273

average = 273 / (1+3+1+7+10+8+5+3+4) = 6.5