Consider the Frequency Distribution Below, Which Has Single Values as Classes

question 9

Essay

Consider the frequency distribution below, which has single values as classes: $$\begin{array} { | c | c | } \hline \text { Value } & \text { Frequency } \\\hline 10 & 1 \\11 & 3 \\12 & 7 \\13 & 18 \\14 & 10 \\15 & 4 \\16 & 2 \\17 & 7 \\18 & 16 \\19 & 10 \\20 & 6 \\21 & 2 \\\hline\end{array}$$ Construct a new frequency distribution for this data with 4 classes. Now, construct another frequency
distribution 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 distributions. 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?

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