Warlington Appliances has developed a new combination blender-crock-pot. In a marketing demonstration, a price survey determined that most of those sampled would be willing to pay around $60, with a surprisingly small interquartile range of $14.00. In an attempt to replicate the results, the demonstration and accompanying survey were repeated. The marketing department hoped to find an even smaller interquartile range. The data follow. Was its hope realized?
| 52 | 35 | 48 | 46 | 43 | 40 | 61 | 49 | 57 | 58 | 65 | 46 |
| 72 | 69 | 38 | 37 | 55 | 52 | 50 | 31 | 41 | 60 | 45 | 41 |
| 55 | 38 | 51 | 49 | 46 | 43 | 64 | 52 | 60 | 61 | 68 | 49 |
| 69 | 66 | 35 | 34 | 52 | 49 | 47 | 28 | 38 | 57 | 42 | 38 |
Solution
First we rearrange the data in increasing order
