# Exercises - Frequency Distributions and Histograms

1. Consider the following data set, $$\begin{array}{ccccc} 171 & 186 & 191 & 204 & 235\\ 173 & 186 & 193 & 204 & 239\\ 174 & 186 & 197 & 209 & 240\\ 181 & 187 & 199 & 210 & 242\\ 182 & 188 & 200 & 211 & 243\\ 184 & 191 & 200 & 218 & 320\\ \end{array}$$

1. What is the relative frequency of integers contained in the interval $[171,320]$?

2. For a frequency distribution for the data above, with 8 classes, find the smallest integer that can be used for the class width.

3. Construct a frequency distribution with 8 classes, indicating both the class limits and class boundaries. Note, end classes may not be empty. Choose "nice" numbers, to the extent possible.

4. Construct the histogram that corresponds to frequency distribution constructed in part (c) for this data

2. Construct a frequency distribution and histogram for the following data set. Use 6 classes. $$\begin{array}{ccccc} 8 & 37 & 88 & 68 & 77 & 80\\ 86 & 50 & 92 & 59 & 87 & 15\\ 70 & 33 & 72 & 46 & 65 & 34\\ 86 & 32 & 56 & 53 & 30 & 94\\ \end{array}$$