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Heights run from a starting point of 59.95 to an ending value of 74.05 and are to be split into eight bars. What bar width does the calculation give before rounding?
AA width of 1.76 units
BA width of 1.42 units
CA width of 2.24 units
DA width of 8.81 units
Answer & Solution
Correct answer: A. A width of 1.76 units
1. The width is the ending value minus the starting point, divided by the number of bars.
2. The ending value is 74.05 inches and the starting point is 59.95 inches.
3. Subtracting gives a span of 14.10 inches.
4. Dividing 14.10 inches by eight bars gives 1.7625, which rounds to 1.76 units.
5. A width of 2.24 units comes from dividing by a smaller bar count, and 8.81 units comes from halving the span instead of dividing by eight.
6. A width of 1.42 units would need ten bars rather than eight.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.1 Display Data_
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