Question

1. Berenson p.90: 3.30 modified – The set of the data below is from a sample of n  7

12,7,4,9,0,7,3

1. (a) Calculate the mean, median and mode

2. (b) Calculate the range, interquartile range, variance, standard deviation and coefficient

   of variation. Interpret the IQR.

3. (c) List the five-number summary, construct the box-and-whisker plot with a suitably

   scaled and labelled axis and describe the shape.

2. The side by side boxplots below shows the distribution of age at marriage of 45 married men and 38 married women.

(a) Compare the two distributions in terms of:

1. measures of central location,

2. measures of variability, and

3. shape (note that it is not possible to comment on modality; do you know

   why?)

(b) Comment on how the age at marriage of men compares to women for the data.

3. Comparison of key features of data distributions
A study of Melbourne’s climate compared annual rainfall values for the 75 years from 1861 to 1935 (“Historical”) with annual rainfall values for the following 75 years 1936 to 2010 (“Recent”).

  

MCD2080 Tutorial Questions and Computing Exercises – Week 3 Page 1

Using the exhibits below, compare the distribution of yearly rainfall totals for the “Historical” period with the distribution for the “Recent” period. Remember to use the required approach by making appropriate references to the

1. (i) measures of central location,

2. (ii) measures of variability, and

3. (iii) shapes of the distributions (note that it is possible to comment on modality; do you know why?).

30 25 20 15 10

5 0

Annual Rainfall (mm)

Histogram of "Historical" Annual Rainfall

30 25 20 15 10

5 0

Histogram of "Recent" Annual Rainfall

Annual Rainfall (mm)

Recent

Historical

200 300 400 500 600 700 800 900 1000 1100 Annual Rainfall (mm)

    

Mean

Answer 1

GET THE SOLUTION