Internal Code: MAS1043
Statistics Assignment:
Question 1:Using your calculator
The following dataset contains ages of 10 randomly selected students in a Judo school in Brisbane.
Answer the questions that follow.
11, 18, 15, 25, 16, 12, 32, 24, 28, 14
(a) Using Excel or the STAT function in your calculator, compute the mean and standard deviation. (No working required for this part.)
(b) Find the median, and compare the mean and median to determine the skewness of the dataset.
(c) Calculate the coefficient of variation.
(d) Locate the first quartile (Q1), third quartile (Q3) and 80th percentile.
(e) Find out the range and inter-quartile range for the dataset.
(f) Suppose the age of oldest in the sample (32) was incorrectly entered. If the correct age was 82, how would the correction affect the mean, median, range and inter-quartile range?
Question 2: Exam scores
The datafile: Exam Scores.xls on the B/b unit site contains a sample of the final exam scores of a stat course. By using appropriate statistics, construct a box-plot and comment on the distribution of the exam results. In your discussion, you should consider the central location, dispersion and skewness of the data.
(You can sketch the box-plot by hand or with Data Analysis Plus.)