What are class boundaries in statistics?

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    See explanation.
    Class boundaries are true class limits.
    Recall: Class limits are end numbers of a class interval.
    For instance we have a class interval ##1 – 5##. ##1## is called the lower limit (LL) and ##5## is the upper limit (UL). These numbers define a class. On the other hand class boundaries were called true class limits. These are boundary points. They tend to bound the class limits.
    Here’s the definitional formula for class boundaries
    ##UCB = UL + 1/2 unit of measurement##
    ##LCB = LL – 1/2 unit of measurement##
    Let’s take the class boundaries for the class interval ##1 – 5##. To do this you need to determine the unit of measurement.
    Since we are counting by ones ##1 2 3 5## and so on then the unit of measurement is ##1## (a unit). So we have to multiply ##1## by ##1/2## then we may now take the class boundaries
    ##UCB = 5 + (1/2)(1) = 5.5##
    ##LCB = 1 – (1/2)(1) = 0.5##
    Therefore the class boundaries are ##0.5 – 5.5##.
    Let’s try another example. Find the class boundaries for the given class interval: ##7.5 – 10.5##
    Look at the least place value. In this example we are counting by tenths. ##0.1 0.2 0.3 0.4## and so on meaning that we have to multiply a tenth by ##1/2## to compute for the class boundaries.
    ##UCB = 10.5 + (1/2)(0.1) = 10.55##
    ##LCB = 7.5 – (1/2)(0.1) = 7.45##
    So the required class boundaries are ##7.45 – 10.55##.
    Happy new year! 😀

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