Grades for ten students are: 88, 93, 83, 97, 73, 88, 85, 59, 73 and 79. Determine the following:
a. Measures of central tendency: mean, median, and mode (2 points each)
b. Measures of dispersion: range, top 20th percentile, and standard deviation (2 points each)
c. Should any scores be omitted in computing the above statistics, and if so, why? (2 points)
2. Aggregate responses to three questions were obtained from a survey of 100 males and 100
females who were randomly selected and viewed three films (A, B and C) as shown below.
In the following table, indicate the type of scale (nominal, ordinal, interval, ratio), measure(s)
of central tendency (mean, median, mode) and dispersion (range, percentiles, standard
deviation) appropriate for each question. [Note: No calculations are required] (5 points each)
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MGT 600 PROBLEM SET NOTES: For all questions, please show all calculations leading to your answers. If you use Excel, include a hard copy of the results of your analysis. 1. Grades for ten students are: 88, 93, 83, 97, 73, 88, 85, 59, 73 and 79. Determine the following: a. Measures of central tendency: mean, median, and mode (2 points each) b. Measures of dispersion: range, top 20th percentile, and standard deviation (2 points each) c. Should any scores be omitted in computing the above statistics, and if so, why? (2 points) 2. Aggregate responses to three questions were obtained from a survey of 100 males and 100 females who were randomly selected and viewed three films (A, B and C) as shown below. In the following table, indicate the type of scale (nominal, ordinal, interval, ratio), measure(s) of central tendency (mean, median, mode) and dispersion (range, percentiles, standard deviation) appropriate for each question. [Note: No calculations are required] (5 points each) 1. Film preference rankings (1 = 1st, 2 = 2nd, 3 = 3rd) for all respondents: A = 3, B = 2, C = 1 2. Satisfaction levels (Satisfied-Dissatisfied-No opinion: coded S-D-N) for each film: A: S=29%, D=47%, N=24%; B: S=33%, D=29%, N=38%; C: S=68%, D=27%, N=5% 3. Violence ratings (1=Low, 5=High) of each film for all respondents: A=3.1, B=4.3, C=2.9 TYPE OF------------------- MEASURES ------------------------- QUESTION SCALECENTRAL TENDENCY DISPERSION 1 2 3 What type(s) of tabular/graphical representation would you use to display the responses for each question (table, pie chart, bar chart, line chart, etc.), and why? (3 points each) QUESTION GRAPHICAL REPRESENTATION REASONS 1 2 3 3. Determine the probability of a normally distributed data point being in the ranges indicated in the following two cases: a. ...