Answer:
(c) 0 – 19, 20 – 39, 40 – 59, 60 – 79, 80 – 99
Explanation:
You want to know the intervals suitable for creating a histogram of the given set of 10 data points.
Histogram
The intervals used to categorize data for a histogram must meet two requirements:
- they must cover the range of the data
- the binning must be unambiguous
Range
The range of the given data is 8 to 83. All the suggested answer choices include a bin that will contain 8. Choice A does not have a bin that contains 88.
Classification
When bins are defined like 0–25, 25–50, the location of the data value 25 is unclear. No data value can fall on a bin boundary, so bins need to be defined to prevent that possibility. For integer data values, bin ranges like 0–14, 15–29, or 0–19, 20–39 are appropriate. This eliminates answer choices B and D, which have ambiguous bin boundaries.
The only reasonable answer choice is C:
0–19, 20–39, 40–59, 60–79, 80–99
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Additional comment
Histograms tend to be most useful if they have between 5 and 20 bins. The idea is to produce a picture of the data distribution in a general way, without so much detail that the big picture is obscured.
Here, the selected bin set will have numbers of 3, 3, 2, 1, 1 in the bins. This gives the impression of a data set skewed to the right, as it should.
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