Question

(Comparing Data LC)

Calculate the median for each data set.
Set A 5 8 9 12 14 15 17 20
15 16 17 20
Set B 10 12 15 16 17 20 25 30
Set A: median = 13
Set B: median = 16.5

Set A: median = 16.5
Set B: median = 13

Set A: median = 12
Set B: median = 16

Set A: median = 14
Set B: median = 17

Answer 1

The median for Set A is 13 and for Set B is 16.5, calculated by finding the average of the two middle numbers in each of the data sets as they both contain an even number of values.

Step-by-step explanation:

To calculate the median for each data set, we first need to arrange the numbers in each set in ascending order. Fortunately, in this question, the data sets are already sorted. The median is the middle number in an odd-numbered set and is the average of the two middle numbers in an even-numbered set.

Looking at Set A (5, 8, 9, 12, 14, 15, 17, 20), there are 8 numbers. The median is the average of the 4th and 5th numbers (12 and 14), so: (12 + 14) / 2 = 13.

For Set B (10, 12, 15, 16, 17, 20, 25, 30), there are also 8 numbers. The median here is the average of the 4th and 5th numbers (16 and 17), so: (16 + 17) / 2 = 16.5.

Therefore, the median for Set A is 13 and for Set B is 16.5.