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Question # 02(a). For each of the data sets in the following exercises compute (a) the mean, (b) the median, (c) the mode, (d) the range, (e) the variance, (f) the standard deviation 1. Porcellini et al. (A-8) studied 13 HIV-positive patients who were treated with highly active antiretroviral therapy (HAART) for at least 6 months. The CD4 T cell counts (*106/L) at baseline for the 13 subjects are listed below. 230 205 313 207 227 245 173 58 103 181 105 301 169 Source: Simona Porcellini, Guiliana Vallanti, Silvia Nozza, Guido Poli, Adriano Lazzarin, Guiseppe Tambussi, Antonio Grassia, "Improved Thymopoietic Potential in Aviremic HIV Infected Individuals with HAART by Intermittent IL-2 Administration," AIDS, 17 (2003), 1621-1630. 2. Butz et al. (A-10) evaluated the duration of benefit derived from the use of noninvasive positive pressure ventilation by patients with amyotrophic lateral sclerosis on symptoms, quality of life, and survival. One of the variables of interest is partial pressure of arterial carbon dioxide (PaCO2). The values below (mm Hg) reflect the result of baseline testing on 30 subjects as established by arterial blood gas analyses. 40.0 47.0 34.0 42.0 54.0 48.0 53.6 56.9 58.0 45.0 54.5 54.0 43.0 44.3 53.9 41.8 33.0 43.1 52.4 37.9 34.5 40.1 33.0 59.9 62.6 54.1 45.7 40.6 56.6 59.0 Source: M. Butz, K. H. Wollinsky, U. Widemuth-Catrinescu, A. Sperfeld, S. Winter, H. H. Mehrkens, A. C. Ludolph, and H. Schreiber, "Longitudinal Effects of Noninvasive Positive-Pressure Ventilation in Patients with Amyotrophic Lateral Sclerosis," American Journal of Medical Rehabilitation, 82 (2003), 597-604. Question # 02(b). Find the population variance and standard deviation for the given frequency distribution. Class Interval Frequency 20-24 1 25-29 4 30-34 8 35-39 11 40-44 15 45-49 9 50-54 2