Determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly. Not all of these statements have definitive answers, so your explanation is more important than your chosen answer.

8. Bins: I saw two frequency tables of airline passenger weights, one using bins that spanned 10-pound ranges (e.g., 101 to 110 pounds) and the second with bins that spanned 20-pound ranges (e.g., 101 to 120 pounds). The first table had twice as many categories as the second.

Explain whether the statement makes sense or not.

The given statement is true. It is because the first frequency table that spanned the bins with 10-pound ranges had twice the categories compared to the second table that spanned the bins with 20-pound ranges.

A frequency table is a graphical representation of data arranged in intervals along with their respective frequency. It shows how frequent each interval or group of scores is in a given dataset. To construct a frequency table, the given data set is divided into equal intervals called classes or bins.

Frequency tables with bins:

The data can be divided into different bins or classes while making frequency tables. Here, the statement talks about two frequency tables, one with bins that spanned 10-pound ranges, and the other with bins that spanned 20-pound ranges.

This means that in the first table, the interval size is 10 pounds, whereas in the second table, the interval size is 20 pounds.

The number of categories in the first table is twice that of the second table. It means that the first table has more intervals as compared to the second table. It is because the range in the first table is less as compared to the second one, and hence more categories can be created using a smaller range.

So, the given statement makes sense, and it is clearly true.

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