I'm struggling slightly with part of a homework problem. We are asked to
"describe the distribution of weights, at the school level"
There are n=220 students in total
There are p=38 schools
I have produced a matrix of histograms; one for each school. With so few students per school I am unsure about how to proceed further. Ignoring the school hierarchy, the data seem a little strange in that they are bi-modal - with peaks around age=8 and age=14. I wondered if this indicated that they came from two samplings - one from elementary schools and one from high schools and they have been combined ? Splitting them into two age groups, each group seems normally distributed (as per QQ plot and shapiro-wilk test) but at the individual school level there is very little evident pattern in the histograms. I wondered about presenting a table with the overall means for each school and the means for each age group, but some schools have just 2 students ! Can anyone suggest any graphical or tabular way to "describe the distribution at the school level" ?