The data in MEAPOl are for the state of Michigan in the year $2001 .$ Use these data to answer the following questions.

(i) Find the largest and smallest values of math. Does the range make sense? Explain.

(ii) How many schools have a perfect pass rate on the math test? What percentage is the total

sample?

(iii) How many schools have math pass rates of exactly 50$\% ?$

(iv) Compare the average pass rates for the math and reading scores. Which test is harder to pass?

(v) Find the correlation between $m a t h 4$ and read $4 .$ What do you conclude?

(vi) The variable expenditure per pupil. Find the average of exppp along with its standard

deviation. Would you say there is wide variation in per pupil spending?

(vii) Suppose School A spends $\$ 6,000$ per student and School $B$ spends $\$ 5,500$ per student. By what percentage does School A's spending exceed School $\mathrm{B}$ 's? Compare this to 100$\cdot[\log (6,000)-$

$\log (5,500) ],$ which is the approximation percentage difference based on the difference in the

natural logs. (See Section A.4 in Appendix A.)