Final answer:
To graph a box-and-whisker plot, arrange the data in ascending order and find the minimum, first quartile, median, third quartile, and maximum. Then plot these values on a number line.
Step-by-step explanation:
To graph a box-and-whisker plot for the given data set {56, 72, 75, 98, 73, 86, 48, 95, 69, 88, 75, 92}, you need to find the minimum, the first quartile, the median, the third quartile, and the maximum.
Step 1: Arrange the data set in ascending order: {48, 56, 69, 72, 73, 75, 75, 86, 88, 92, 95, 98}
Step 2: Find the minimum value: 48
Step 3: Find the first quartile (Q1): 69
Step 4: Find the median (Q2): 75
Step 5: Find the third quartile (Q3): 92
Step 6: Find the maximum value: 98
Step 7: Plot these values on a number line to create the box-and-whisker plot.