2.3.4 The objective of a study by Herrman et al. (A-4) was to estimate the prevalence of severe mental disorders in a representative sample of prisoners in three metropolitan prisons in Melbourne, Australia. Three groups of prisoners were identified:

those who agreed to be interviewed, those who refused to be interviewed, and those who agreed to serve as replacements for the subjects who initially refused to be interviewed. In addition to assessing the prevalence of mental disorders among the subjects, the investigators obtained data on length of sentence and length of incarceration at the time of the study. The following data are the lengths of minimum sentence (in days) for the subjects who refused to be interviewed.

18 4380 0 360 4955 720 1095 727 2190 730 365 1275 450 455 180 344 3650 0 2340 2555 2920 540 360 545 270 545 180 90 1000 0 2005 60 270 150 717 540 180 1825 3710 90 910 2920 180 660 90 270 2555 365 253 284 4015 3100 450 330 2885 1050 360 0 730 90 1460 1000 3160 450 1095 1460 910 1200 635 360 360 120 1953 0 466 1460 844 120 2920 409 360 1095 240 910 570 330 4745 0 951 540 88 1125 540 730 545 450 90 450 1670 730 SOURCE: Helen Herrman, M.D. Used with permission.
Use these data to construct:

a. A frequency distribution.

b. A relative frequency distribution.

c. A cumulative frequency distribution.

d. A cumulative relative frequency distribution.

e. A histogram.

f. A frequency polygon.