The following data set involves \"Age at diagnosis for each of the 20 patients u

Question

The following data set involves "Age at diagnosis for each of the 20 patients under treatment for meningitis was given in the paper "Penicillin in the Treatment of Meningitis (Journal of American Medical Association 1984)". The ages in years were as follows: 18 18 25 19 23 20 69 18 21 18 20 18 18 20 18 19 28 17 18 18 Construct a frequency distribution using 6 classes starting with the lowest data value in the data set. The frequency table must include the following column headings: class limits (CL), class boundaries (CB), frequency (F), midpoints (M), and cumulative frequency (CF). When writing your answer, out the entries in separate columns and you can use abbreviations for column headings.

Explanation / Answer

Here, we have 20 observations and need 6 classes. The minimum value is 17 and maximum is 69. Thus, the width of a class interval would be (69-17)/6 = 8.6667 which is approximately taken as 9.

Class Limits Class boundaries Frequency Mid-Points Cumulative Frequency 17-26 17 18 21.5 18 26-35 26 1 30.5 19 35-44 35 0 39.5 19 44-53 44 0 48.5 19 53-62 53 0 57.5 19 62-71 62 1 66.5 20

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