ASSIGMENT QUESTION SBST1303 PENGENALAN STATISTIK / ELEMENTARY STATISTICS

ASSIGNMENT QUESTION

 

INSTRUCTION: ANSWER ALL QUESTIONS

QUESTION 1

Physicians use pulse rate to assess the health of patients. A pulse rate that is abnormally high or low suggests that there might be some medical issues. For example, a pulse rate that is too high might indicate that the patient has an infection or is dehydrated. Consider pulse rate measurements (in beats per minute) obtained from a simple random sample of 40 males and another simple random sample of 40 females as shown in Table 1.

Table 1 : Pulse Rates (beats per minute) of Males and Females

Males
68	64	76	56	84	72	60	56	88	56
64	72	60	64	76	56	68	84	56	60
88	60	96	60	84	68	60	72	64	64
72	88	72	64	88	60	60	84	56	72

Females
76	72	68	68	68	64	76	60	88	95
72	68	68	72	72	80	80	76	80	88
88	80	80	96	64	76	104	72	60	108
60	64	76	72	80	96	88	72	72	64

a)         Prepare a frequency distribution table for the pulse rates of males and females separately. Take 10 as a class width for both distributions and 50 as a lower limit of the first class for the males; 60 as a lower limit of the first class for the females.

b)         Prepare a histogram for each of the pulse rates distribution. Describe the shape of each distribution.

c)         Draw a cumulative frequency polygon for each of the pulse rates distribution.

From your graph in (b), estimate the median.

[Total: 15 marks]

QUESTION 2

a)    From the data in Table 1, for each of the pulse rate distribution, calculate the following:

           i.          mean

           ii.          mode

           iii.         median

           iv.        standard deviation

b)   Determine the value of Pearson’s Coefficient of Skewness (PCS) for each distribution. Comment on the skewness of the data.

[Total: 15 marks]