2. The WacbesaK Outpatient Center, designed for same-day minor surgery, opened last month.Following is the number of patients served the first 16 days.27 27 27 28 27 25 25 28 26 28262831302626The information is to be organized into a frequency distribution.a. How many classes would you recommend?b. What class interval would you suggest?c. What lower limit would you recommend for the first class?d. Organize the information into a frequency distribution and determine the relative frequencydistribution.e. Construct the cumulative frequency distribution and portray it graphically in frequency|polygon.f. Comment on the shape of the distribution.

Given: Sample size, n = 16, maximum = 31 & minimum = 25 therefore, range = max - min = 31 - 25 = 6 Part a: As there are only 16 observations we can take the number of classes as 4 Also, as a general rule, Number of class intervals, k is such that 2k ≥ n therefore, since n = 16, k = 4 Part b: The width of class interval, h is h = range/k = 6/4 = 1.5 ~ 2 Part c: Since the minimum value in the data is 25 The lower limit for the first class can be taken as 24. Part d: The frequency distribution table for the given data is Class interval frequency Relative frequency 24 -- 26 26 -- 28 28 -- 30 30 -- 32 2 8 4 2 0.125 0.5 0.25 0.125 Total 16 1.0 Part e: Cumulative frequency distribution is Class interval frequency Cumulative frequency Mid-point of class interval 24 -- 26 26 -- 28 28 -- 30 30 -- 32 2 8 4 2 2 10 14 16 25 27 29 31 Total 16 Steps for constructing a cumulative frequency curve 1. Draw the first quadrant of an x-y plane. 2. Mark a suitable scale for the mid-point of class intervals on the x-axis. 3. Mark a suitable scale for the class frequencies. Take 1 unit = 2 day. 4. Plot the cumulative frequencies corresponding to the mid-points. We get the cumulative frequency polygon as: Part f: The cumulative frequency distribution is an increasing function.