Question 53
The largest digit of 13 is 3, and the largest digit of 77 is 7. For each nonzero digit, determine how often it occurs as the largest digit among the natural numbers from 1 to 99, and form the corresponding frequency table. Display this frequency distribution with a histogram and a frequency polygon. Prove that the sum of the rectangle areas in the histogram equals the area bounded by the broken line of the frequency polygon and the horizontal axis.