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Question
Missy Walters owns a mail-order business specializing in baby clothes. She is considering offering her customers a discount on shipping charges based on the dollar-amount of the mail order. Before Missy decides the discount policy, she needs a better understanding of the dollar-amount distribution of the mail orders she receives. Missy had an assistant randomly select 50 recent orders and record the value, to the nearest dollar, of each order as shown below.| 136 | 281 | 226 | 123 | 178 | 445 | 231 | 389 | 196 | 175 |
| 211 | 162 | 212 | 241 | 182 | 290 | 434 | 167 | 246 | 338 |
| 194 | 242 | 368 | 258 | 323 | 196 | 183 | 209 | 198 | 212 |
| 277 | 348 | 173 | 409 | 264 | 237 | 490 | 222 | 472 | 248 |
| 231 | 154 | 166 | 214 | 311 | 141 | 159 | 362 | 189 | 260 |
a. Determine the mean, median, and mode for this data set.
b. Determine the 80thpercentile.
c. Determine the first quartile.
d. Determine the range and interquartile range.
e. Determine the sample variance, sample standard deviation, and coefficient of variation.
f. Determine the z-scores for the minimum and maximum values in the data set.
Answer
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