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Answer on Statistics and Probability Question for firdaus

Question #7139
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.
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