Nov 2017 Q4

Data on access time, in minutes, to a medical consultant who charges by the hour was recorded by his accountant’s assistant over a period of one week. Using a class width of 4 minutes, the following frequency distribution table was obtained:

Required:
a) Using a graph sheet draw a less than or a greater than (more than) cumulative frequency curve (ogive) of the data.   (6 marks)

b) From the ogive in (a) above estimate the median access time.                                                                                       (2 marks)

c) Calculate the mean and the mode of the access times.                                                                                                    (6 marks)

d) Calculate the standard deviation of the distribution.                                                                                                       (4 marks)

e) Using, the values in (b) and (c) above, comment on the skewness of the distribution.                                                  (2 marks)