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QUESTION

# What are class boundaries in statistics?

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

• Upper-class boundary (UCB)

"UCB" = "UL" + 1/2 "unit of measurement"

• Lower class boundary (LCB)

"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! :D