You are in charge of a joint purchase of retro sports jackets for local FC Bayern Munich supporter club. The sizes correspond to chest measurements, and are (in cm): S=87-94,M=94-102, L=102-110, XL=110-121, XXL=121-

133, 3XL=133-145. A few of the members are interested in making orders, and the total is 23S, 161M, 93L, 211XL, 131XXL and 42 3XL. Use the formulas for grouped data for calculations on the chest measurements in your local FCB supporter club.

(a) Create a table and a cumulative table, and draw the histogram and the cumulative graph.

(b) For each interval, find the interval limits l_k and u_k, and calculate the widths b_k and the average value v_k.

(c) Find the median and the two quartiles.

(d) Find mean and the sample variance.