Final answer:
To determine the median for the set of data 5/8, 3/4, 1-1/4, 1-1/4, the numbers are first arranged in order and the average of the two middle values is calculated. The median is 1, which is not one of the provided options.
Step-by-step explanation:
To find the median for the given set of data: 5/8, 3/4, 1-1/4, 1-1/4, you first need to arrange the data in ascending order:
- 5/8 (which is the same as 10/16)
- 3/4 (which is the same as 12/16)
- 1-1/4 (which is 20/16, and since we have two of these, we list it twice)
- 1-1/4 (which is 20/16)
Next, as there are four numbers in the data set, we find the median by calculating the average of the two middle numbers. In this case, the two middle numbers are 3/4 (12/16) and 1-1/4 (20/16). To find their average, add them together and divide by 2:
(12/16 + 20/16) / 2 = 32/16 / 2 = 16/16 = 1
The median is not one of the options provided, which suggests there may have been an error in the question or the options presented. However, the procedure above is the correct method to find the median.