**1.**
Consider a hypothetical list of exam grades for a large lecture class. Find
the mean, median, most probable value and standard deviation of this distribution
of 100 grades. Quote your results to three significant figures. You may perform
the calculation by hand, write your own program, or use a software package (such
as Excel) to do the calculations for you, but you must show your work by explaining
how you would calculate each quantity. Here is the data in text
and excel formats.

**2.** Find the uncertainty
in x as a function of the uncertainties in u and v for the following functions.
This question should be answered in analytical form. Show your work. You may
assume that u and v are completely uncorrelated. If you find it to be more convenient,
you may express your result as a relative error in x (i.e. sigma_x/x).

a) x = 1/[2(u+v)]

b) x = 1/[2(u-v)]

c) x = 1/u^2

d) x = u v^2

e) x = u^2 + v^2

**3.** Derive a formula
for making a linear fit to data with an intercept at the origin so that y =
bx. Apply your method to fit a straight line through the origin to the following
set of data (text or xls).
Assume uniform uncertainties of s* _{i}*=2.0 in y