QUESTION 2 a) The following table provides the information on the number of HFMD infection cases...

 

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QUESTION 2 a) The following table provides the information on the number of HFMD infection cases reported according to five states for Week 23, in 2022. Based on the data below. construct a pie chart and give your comment. Number of cases 26799 10739 9744 6326 Kelantan 6153 (Source: The Malaysian Reserve) State Selangor Kuala Lumpur Perak Johor (4 marks) b) Drivers were surveyed to determine their rest time taken at the Rest & Recreation (R&R) area when they travelled back to their hometowns, during the Hari Raya holidays. A random sample of 50 drivers was selected, and the time taken by each driver to stop at the R&R were summarized as follows: Time taken to stop at the R&R (in minutes) Number of drivers 0 and less than 10 4 8 13 10 and less than 20 20 and less than 30 30 and less than 40 40 and less than 50 12 7 50 and less than 60 6 i) Construct a less than' ogive for the above data (3 marks) ii) From the ogive obtained in (i), estimate the value of X if 50% of the drivers took more than X minutes to stop at the R&R. and another 50% of the drivers took less than X minutes. (1 mark) iii) Find the mean and the standard deviation of the time taken by each driver to stop at the R&R. (4 marks) iv) Compute the Pearson's coefficient of skewness and describe the shape of the distribution. (3 marks) CS Scanned with CamScanner QUESTION 2 a) The following table provides the information on the number of HFMD infection cases reported according to five states for Week 23, in 2022. Based on the data below. construct a pie chart and give your comment. Number of cases 26799 10739 9744 6326 Kelantan 6153 (Source: The Malaysian Reserve) State Selangor Kuala Lumpur Perak Johor (4 marks) b) Drivers were surveyed to determine their rest time taken at the Rest & Recreation (R&R) area when they travelled back to their hometowns, during the Hari Raya holidays. A random sample of 50 drivers was selected, and the time taken by each driver to stop at the R&R were summarized as follows: Time taken to stop at the R&R (in minutes) Number of drivers 0 and less than 10 4 8 13 10 and less than 20 20 and less than 30 30 and less than 40 40 and less than 50 12 7 50 and less than 60 6 i) Construct a less than' ogive for the above data (3 marks) ii) From the ogive obtained in (i), estimate the value of X if 50% of the drivers took more than X minutes to stop at the R&R. and another 50% of the drivers took less than X minutes. (1 mark) iii) Find the mean and the standard deviation of the time taken by each driver to stop at the R&R. (4 marks) iv) Compute the Pearson's coefficient of skewness and describe the shape of the distribution. (3 marks) CS Scanned with CamScanner