Descriptive Statistics Assignment Example | Topics and Well Written Essays - 250 words

Descriptive Statistics - Assignment Example For the data presented; the descriptive statistics help in understanding the extent of spread of scores, the aggregate score s of groups of participants, and the most representative scores in different groups(Frankfort-Nachmias & Nachmias, 2008). For the control group, it is evident that the scores on both variables – Depression and the number of candy bars eaten – are higher than the group receiving CBT. The control group had a Mean score of 5.3 and a Median and Modal score of 5 for candy bars eaten. The range of the scores was 4 and variance was 1.79 while Standard Deviation was 1.34. The CBT group had a Mean and Median score of 1.5 and Modal scores of 1 and 2. The range of the scores was 3, with a variance of 1.17 and a Standard deviation of 1.08. For the whole sample, the Mean was 3.40 and mode was 5 while median was 3.50 while range was 8, variance was 5.2 and Standard deviation was 2.28. For both the groups; the Mean, Median and Mode are quite close and this may b e interpreted to mean that these groups are somewhat normally distributed, though the CBT group is a bimodal group with two adjacent modes. For all three measures of central tendency, the Control group had higher scores as compared to the CBT group. The control group also had higher scores on all measures of dispersion, showing that there was more variability in the control group’s scores than the CBT groups. The measures of variability were highest for the whole sample showing that all participants together had more variance in their scores. The same trend was noticed for depression scores with CBT group scoring lower than the control group. The control group had a mean score of 72.2, a median of 74.5 and a mode of 72. The range of scores was 32 with a variance of 87.57 and a Standard deviation of 9.36. The mean score for the CBT group was 40.8, the median was 40 and the mode was 35. Although the control group had similar mean, mode and median showing a relatively normal