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Assignment Questions (Show working clearly for question 1 and 2, not only answers)

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)

Question 2

(a) It is noted that 8% of Kaplan students are left handed. If 20 (TWENTY) students are randomly selected, calculate the

i. probability that none of them are left-handed, (2 marks)

ii. probability that at most 2 are left-handed, (3 marks)

iii. standard deviation for the number of left-handed students (2 marks)

(b) If 50 (FIFTY) classes of 20 (TWENTY) students are randomly selected, what is the probability that 10 (TEN) classes have no left-handed students? (3 marks)

Question 3

Select an appropriate article (e.g. business report, news, journal, marketing brochure, etc.) you have read recently. In 300 to 600 words, evaluate the use of statistics in the article. Please ensure that you have fulfilled the following requirements:

1 Attach the article at the end of the assignment and provide the reference.

2 Briefly summarise the content of the article.

3 Explain how the article has made use of statistics.

4 Examine the presented statistics critically. Identify and explain what aspects you should investigate further before we could accept the validity of the statistics.