Answer:
none.
(a) is the closest
Explanation:
A histogram is a sorting of the data values into bins. It tells you how many values fall in each bin.
Here the boundary values of the bins are labeled with integers. Comparison of the data to the graphs indicates the limits on a bin exclude the upper end. That is, for the bin labeled 20–24, we include only values 20 ≤ x < 24.
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None of the offered choices is a correct histogram of the given data set.
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Sorting the data into increasing order can help you create or check the histogram. The attachment shows the 25 data values sorted and properly binned into 5 bins of width 4.
A: only 24 data values are shown. The right-most bin is one short. Otherwise this is the best choice of answer.
B: only 24 data values are shown. They do not match the given data set. Too many (4) are put into the first bin.
C: 25 data values are shown. They do not match the given data set. Too few (2) are put in the first bin.
D: 25 data values are shown. They do not match the given data set. Too many (5) are put in the first bin.
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Additional comment
Usually, we want bin definitions so that there is no ambiguity regarding where a data value goes.