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The concepts of class limits, boundaries, intervals, width and midpoint in statistics. It provides examples and formulas to calculate lower and upper class limits, class boundaries, class width and class midpoint using a frequency table.
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Class limit, boundary, interval, width and midpoint Class Limits Class limits are the smallest and largest observations (data, events etc) in each class. Hence, each class has two limits: a lower and upper limit. Example: Class Frequency 300 โ 399 13 400 โ 499 20 500 โ 599 7 600 โ 699 3 700 โ 799 12 800 โ 899 8 900 โ 999 7 Total Frequency 70 By means of the frequency table above, what are the lower and upper class limits for the first three classes? One can definitely see that; For the first class, 300 โ 399 The lower class limit is 300 The upper class limit is 399 For the second class, 400 โ 499 The lower class limit is 400 The upper class limit is 499 For the third class, 500 โ 599 The lower class limit is 500 The upper class limit is 599 Class Boundaries Class Boundaries are the midpoints between the upper class limit of a class and the lower class limit of the next class in the sequence. It is 0.5 more or less of a class limit. Therefore, each class has an upper and lower class boundary. Example: Class Frequency 300 โ 399 13 400 โ 499 20
Class Intervals, width and size Class interval for example is 300-399 and the class width or size is the difference between the upper and lower class boundaries of any class. Example: