Question

Which of the following statements is true about a distribution that appears to have a gap when displayed as a histogram? The distribution must have an outlier. The distribution must have an outlier. A The distribution has a region between two data values where no data were observed. The distribution has a region between two data values where no data were observed. B The distribution is approximately normal. The distribution is approximately normal. C The distribution cannot be symmetric. The distribution cannot be symmetric. D The distribution must be bimodal. The distribution must be bimodal. E

Answer 1

Option B is correct - The distribution has a region between two data values where no data were observed.

Explanation:

To answer this question, i would use a sample histogram to explain the gaps in a histogram.

For example, a histogram has been attached.

The histogram has been plot to show the average height of children of different ages in a particular year.

From the attached image, we can see that all the bars represent average height of different ages.

Now, if one of the bars was to be empty which in this case means that the value there is zero and there is a gap. Since the bar is to represent average height of a particular age, it means that there was no data collected for that age as height cannot be zero!

This same reason applies generally to gaps in histogram which means that no data was collected for that particular bar region.

Thus, Option B is correct - The distribution has a region between two data values where no data were observed.