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: i) Time taken to stop at the R&R (in minutes) Number of drivers 4 8 O and less than 10 10 and less than 20 20 and less than 30 30 and less than 40 40 and less than 50 13 12 7 50 and less than 60 6 Construct a 'less than' ogive for the above data 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.

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Do i and ii. 

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
4
8
0 and less than 10
10 and less than 20
20 and less than 30
30 and less than 40
40 and less than 50
13
12
7
50 and less than 60
6
i) Construct a 'less than' ogive for the above data
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.
iii) Find the mean and the standard deviation of the time taken by each driver to stop at
the R&R.
iv) Compute the Pearson's coefficient of skewness and describe the shape of the
distribution.
Transcribed Image Text: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 4 8 0 and less than 10 10 and less than 20 20 and less than 30 30 and less than 40 40 and less than 50 13 12 7 50 and less than 60 6 i) Construct a 'less than' ogive for the above data 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. iii) Find the mean and the standard deviation of the time taken by each driver to stop at the R&R. iv) Compute the Pearson's coefficient of skewness and describe the shape of the distribution.
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