Provide an Appropriate Response Construct a New Frequency Table for This Data with 4

Essay

Provide an appropriate response.
-Consider the frequency table below which has single values as classes:
$$\begin{array} { c | c } \text { Value } & \text { Frequency } \\\hline 10 & 1 \\11 & 3 \\12 & 7 \\13 & 18 \\14 & 10 \\15 & 4 \\16 & 2 \\17 & 7 \\18 & 16 \\19 & 10 \\20 & 6 \\21 & 2\end{array}$$
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?