Question at position 15 Which of the following are necessary to be determined to define the classes for a frequency distribution with quantitative data?Width of each bin and number of bins Number of nonoverlapping bins, width of each bin, and bin limitsNumber of nonoverlapping bins, width of each bin, and bin upper limitsWidth of each bin and bin lower limitsClear my selection

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BlackTom AI · Accepted Answer

The task asks which elements are necessary to define the classes for a frequency distribution with quantitative data.
Option 1: 'Width of each bin and number of bins' — This omits bin limits, which are needed to define the exact range covered by the distribution. Without bin limits, the intervals could be ambiguous at the boundaries, so this is incomplete.
Option 2: 'Number of nonoverlapping bins, width of each bin, and bin limits' — This includes the count of bins, the size of each bin, and the overall range boundaries (bin limits). Together, these specify all class boundaries and ensure nonoverlapping, equally spaced intervals that cover the data range, which is typically required for defining a frequency distribution for quantitative data.
Option 3: 'Number of nonoverlapping bins, width of each bin, and bin upper limits' — This provides the upper limits but not the lower limits, leaving ambiguity about where each interval starts. Without both lower and upper limits, the exact class boundaries are not fully specified.
Option 4: 'Width of each bin and bin lower limits' — This gives the size of the intervals and where they begin, but omits the total number of bins and the bin upper limits (or overall range), potentially causing an incomplete specification of the class structure across the data range.
In summary, option 2 is the most complete specification because it clearly defines how many bins there are, how wide each bin is, and what the overall range (bin limits) is, ensuring a proper, nonoverlapping partition of the data range. The other options each miss at least one critical component (either the range boundaries or the explicit starting/ending boundaries), leading to ambiguity in the frequency distribution construction.

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