Question: A survey showed the costs in dollars for taking 42 families to amusement parks:

156 212 228 230 218 189 172

221 175 190 222 208 152 184

209 195 207 217 153 243 228

166 202 213 167 189 244 239

234 178 233 245 229 189 220

144 159 278 226 190 158 208

(a) Obtain the mean cost of taking a family to an amusement park

(b) Obtain the five number summary for cost of taking a family to an amusement park

(c) Obtain a frequency table for the sample of the costs of taking a family to an amusement park made up of seven classes. Assume first class starts at 140 with width 20. Show class boundaries, class midpoints, frequencies, cumulative frequencies, relative frequencies and cumulative relative frequencies

(d) Obtain the (i) the range for the costs (ii) the inter-quartile range

(e) Construct a box-plot for the data