Final answer:
The median of the data set after multiplying each number by 12 is 336.
Step-by-step explanation:
The given data set is:
28, 58, 20, 14, 18, 71, 36
To find the median of the data set after multiplying each number by 12, we need to first multiply each number by 12:
28 x 12 = 336
58 x 12 = 696
20 x 12 = 240
14 x 12 = 168
18 x 12 = 216
71 x 12 = 852
36 x 12 = 432
The new data set is:
336, 696, 240, 168, 216, 852, 432
To find the median of this new data set, we need to arrange the numbers in ascending order:
168, 216, 240, 336, 432, 696, 852
Since there are 7 numbers in the data set, the median is the middle number, which is 336.