Answer:
To find the smallest integer value that the frequency density axis needs to reach, we need to first calculate the frequency density for each class interval. The frequency density is calculated by dividing the frequency of each interval by its corresponding class width.
The class widths are:
14 - 0 = 14
18 - 14 = 4
20 - 18 = 2
25 - 20 = 5
40 - 25 = 15
The frequency densities are:
21 / 14 = 1.5
28 / 4 = 7
17 / 2 = 8.5
22 / 5 = 4.4
33 / 15 = 2.2
To plot all of the data, we need to find the maximum frequency density and round it up to the nearest integer. In this case, the maximum frequency density is 8.5, so we need to round it up to 9. Therefore, the smallest integer value that the frequency density axis needs to reach is 9.