A randomized survey among the supporters of the Scottish football team Heart of Midlothian FC yielded the following numbers in the different age groups: 0-12 years: 1, 13-18: 9, 19-34: 41, 35-50: 58, 51-64: 33, 65-80: 2. Use the formulas for grouped data in the following calculations:

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

(b) For each interval: Find the limits l_k and u_k, and the width bk and the average value v_k. (Remember you are dealing with stated age here.)

(c) Find the median and the two quartiles.

(d) Find the mean and the sample standard deviation.