Take Home Asignment 1 - Numerical Descriptive Measures
Show al workings
Question 1 Using your calculator
The folowing dataset contains ages of 10 randomly selected students in a Judo schol in
Brisbane. Answer the questions that folow.
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 skewnes of the
dataset.
(c) Calculate the coeficient of variation.
(d) Locate the first quartile (Q1), third quartile (Q3) and 80
th
percentile.
(e) Find out the range and inter-quartile range for the dataset.
(f) Supose the age of oldest in the sample (32) was incorrectly entered. If the corect age was
82, how would the corection 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 coment 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 Excel)
Note: Submit THA online via Turnitin.
Due: Sunday 10th December by 11:59 pm (end of Week 3)