Answer to Question #70019 in Statistics and Probability for nicholaslim

Question

Question 1

a) The following data represent the number of years patients survived after being diagnosed with

terminal cancer:

0.4, 0.5, 0.6, 0.6, 0.6, 0.8, 0.8, 0.9, 0.9, 0.9,

1.2, 1.2, 1.3, 1.4, 2.1, 2.4, 2.5, 4.0, 4.5, 4.6

(i) Construct a stem-and-leaf display (6 marks)

(ii) Supposedly you are inserting the above stem-and-leaf display in a report to be

submitted to management, write a short comment on the diagram.

(4 marks)

b) The following data shows the weight (in kg) of 13 crabs found in a restaurant on a particular evening:

3.4 1.2 1.7 2.4 2.4 1.1 0.9 0.8 1.2 1.6 0.7 1.2 1.3

(i) Compute the mean and median. (3 marks)

(ii) Determine the shape of the distribution based on the sample data. Explain your

conclusion. (2 marks)