Question

The list shows the scores made be each member of Jaime's discussion group on the last test. 69 79 62 93 73 81 73 78 Which box-and-whiskers plot correctly displays the information? f Box-and-whiskers plot G g Box-and-whiskers plot J h Box-and-whiskers plot F j Box-and-whiskers plot H

Answer 1

While I cannot see your plots to choose from, the correct box plot is attached.

Explanation
We first order the data from least to greatest:

62, 69, 73, 73, 78, 79, 81, 93

The median is the middle data value.  Since there is an even number of values, the median is between 73 and 78:
(73+78)/2 = 151/2 = 75.5

The Upper Quartile (UQ) is the median of the upper half of data, cut by the median.  This half has an even number of data points, so the UQ is between 79 and 81:
(79+81)/2 = 160/2 = 80

The Lower Quartile (LQ) is the median of the lower half of data, cut by the median.  This half has an even number of data points, so the LQ is between 69 and 73:
(69+73)/2 = 142/2 = 71

The center line of the box will be at 75.5, the median.  The left edge of the box is at the LQ, 71.  The right edge of the box is at the UQ, 80.  There is a whisker extending from the right side of the box to the highest value, 93.  There is a whisker extending from the left side of the box to the lowest value, 62.