224k views
2 votes
If each of the numbers in the following data set were multiplied by 12, what would be the median of the data set?

28, 58, 20, 14, 18, 71, 36

a) 336
b) 852
c) 252
d) 312

User Erex
by
7.2k points

1 Answer

2 votes

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.

User Prathamesh Doke
by
8.1k points