## Related questions with answers

(a) Make a frequency distribution and histogram (using appropriate bins) for these $28$ observations on the amount spent for dinner for four in downtown Chicago on Friday night. (b) Repeat the exercise, using a different number of bins. Which is preferred? Why?

$\begin{array}{rrrrrrr}95 & 103 & 109 & 170 & 114 & 113 & 107 \\ 124 & 105 & 80 & 104 & 84 & 176 & 115 \\ 69 & 95 & 134 & 108 & 61 & 160 & 128 \\ 68 & 95 & 61 & 150 & 52 & 87 & 136\end{array}$

Solution

Verified$(a)$ Let us first sort the given $28$ amounts spent for dinner for four people. The corresponding table is:

$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 52&61&61&68&69&80&84&87&95&95&95&104&104&105 \\\hline 107&108&109&113&114&115&124&128&134&136&150&160&170&176 \\\hline \end{array}$

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