To find the median and quartiles, first arrange the data in ascending order: 104, 104, 109, 115, 117, 120, 124, 125, 132, 134, 142, 145, 158, 160, 162.

The median is the middle value. Since there are 15 data points, the median is the 8th value: 125.

The lower quartile (LQ) is the median of the first half of the data (excluding the overall median if the number of data points is odd). The first half is: 104, 104, 109, 115, 117, 120, 124. The median of this set is the 4th value: 115.

The upper quartile (UQ) is the median of the second half of the data. The second half is: 132, 134, 142, 145, 158, 160, 162. The median of this set is the 4th value: 145.

For the box-and-whisker plot, draw a number line from at least 110 to 160. Plot the LQ at 115, the median at 125, and the UQ at 145. Draw a box from 115 to 145 with a line at 125. Extend whiskers to the minimum (104) and maximum (162) values.