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Chapter 1: Q. 78. (page 53)

Die rolls Imagine rolling a fair, six-sided die 60 times. Draw a plausible graph of the distribution of die rolls. Should you use a bar graph or a histogram to display the data?

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Die rolls Imagine rolling a fair, six-sided die 60 times.

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01

Given information.  

Die rolls Imagine rolling a fair, six-sided die 60 times.

02

you use a bar graph or a histogram to display the data.

Because the outcomes of the die are 1.2.3.4.5.6 and numerical, you should use a histogram (while a bar graph requires a categorical variable which has non-numerical outcomes).

Histogram

The width and height of the bars must be equal, as well as the frequency.

We anticipate that the 60 rolls in the sample will be evenly distributed across all possible outcomes, resulting in approximately 10 rolls per outcome.

For example, the following table summarises the possible outcomes of 60 rolls of a fair, six-sixed die:

OutcomeFrequency
19
211
38
410
512
610

The distribution's possible histogram is then generated.

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