The class width for this distribution is:

Question

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The prompt asks for the class width for this distribution, but the provided data is incomplete.

First, note the essential concepts: the class width in a grouped frequency distribution is typically calculated as the difference between the lower bounds (or upper bounds) of consecutive classes. It is often constant across all classes in a well-formed grouped distribution. In many cases, class width can be found by (range) / (number of classes) when class limits are equally spaced and the number of classes is known. Without the actual class intervals, class limits, or the range, you cannot determine the width with certainty.

Second, the answer field indicates the value "5" as the answer, but without any answer options provided, there is no basis to evaluate or compare alternatives. In multiple-choice questions, having only one listed option or no options makes it impossible to justify the correctness of that choice. A single provided number could be correct if it matches the computed class width, but verification requires the full set of class intervals or at least the range and the number of classes.

Third, consider typical steps you would take if data were available: 1) identify the minimum and maximum data values to compute the range; 2) count the number of classes (or determine it from the given class interval structure); 3) compute class width as (range) / (number of classes); 4) confirm that all class widths are consistent with the interval boundaries; 5) verify by checking that each class span corresponds to the calculated width.

Because the distribution data (class intervals, raw data, or the number of classes) is missing from the question, any assertion about the class width remains speculative. If you can supply the class intervals (e.g., 0–4, 5–9, 10–14, etc.), or the range and the number of classes, I can compute and verify the class width explicitly.

If we consider the given answer "5" hypothetically, potential scenarios where a class width of 5 would be correct include: a) class intervals like 0–4, 5–9, 10–14, etc., where each class spans 5 units; b) a computed width from a known range and a known number of classes that yields 5. However, without the supporting intervals or counts, that stays a conditional remark rather than a justified conclusion.

In summary, with the information provided (no answer options and no class intervals or range), it is not possible to definitively determine or justify the class width. Please supply the distribution’s class intervals, the range, or the number of classes so the width can be calculated and verified step by step.

BU-STAT-2103-751-49510-202503 Understanding frequency distributions - Deciding number of intervals and interval widths

The class width for this distribution is:

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