Provide an appropriate response.Consider the frequency table below which has single values as classes:  Construct a new frequency table for this data with 4 classes. Now construct another frequency table for this data with 6 classes. Suppose that you construct a histogram corresponding to the original data and histograms corresponding to each of the new frequency tables. Describe the shapes of the three histograms. Does the histogram with six classes capture the distribution of the data? Does the histogram with four classes capture the distribution of the data?

What will be an ideal response?


The data is bimodal because it has two peaks one near 13 and one near 18. The two frequency tables are as follows:

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The bimodal distribution of the data will be clearly seen in the histogram of the original data and in the histogram with six classes. In the histogram with four classes the shape of the data is lost.

Mathematics

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