The goal is to construct a grouped frequency distribution table (GFDT) for this

Question

The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should have 10 classes with a "nice" class width. Each class should contain its lower class limit, and the lower class limits should all be multiples of the class width. It has been determined that the ideal class width would be 20. This problem is to determine what the first lower class limits should be. What is the minimum of this data set? What is the minimum divided by the class width? This number rounds down to what integer? Using this value, if the goal is to have a lower class limits that are multiplies of the class width, what should be the first lower class limit?

Explanation / Answer

The minimum is 393.

We want the lower class limits to be multiples of 19, so we need the largest multiple of 19 that is less than the minimum, 393.

In that case, it is

19*20 = 380 [ANSWER]

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[The next multiple of 19, 399, cannot be, as it is larger than the minimum, 393.]

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