University of Hawaii language professors C. Hitosugi and R. Day incorporated a 10-week extensive reading program into a second-semester Japanese language course in an effort to improve students' Japanese reading comprehension. (Reading in a Foreign Language, Apr. 2004). The professors collected 266 books originally written for Japanese children and required their students to read at least 40 of them as part of the grade in the course. The books were categorized into reading levels (color coded for easy selection) according to length and complexity. The reading levels for the 266 books are summarized in the following table:

Reading Level................................Number

Level 1 (Red) ................................ 39

Level 2 (Blue) ................................ 76

Level 3 (Yellow) ............................ 50

Level 4 (Pink) ................................ 87

Level 5 (Orange) ............................. 11

Level 6 (Green) ................................ 3

Total.................................. 266

a. Calculate the proportion of books at reading level 1 (red).

b. Repeat part a for each of the remaining reading levels.

c. Verify that the proportions in parts a and b sum to 1

d. Use the previous results to form a bar graph for the reading levels.

e. Construct a Pareto diagram for the data. Use the diagram to identify the reading level that occurs most often.