Group A: 3, 10, 14, 26, 28, 29, 32, 45, 56, 80
Group B: 5, 6, 10, 16, 18, 19, 20, 22, 24, 27
Find the median of Group A and Group B. And find their difference in medians.
Median of Group A:
Since Group A has 10 numbers, the median will be the average of the 5th and 6th numbers when arranged in ascending order.
When arranged in ascending order: 3, 10, 14, 26, 28, 29, 32, 45, 56, 80
The 5th and 6th numbers are 28 and 29.
Median of Group A = (28 + 29) / 2 = 28.5
Median of Group B:
Since Group B has 10 numbers, the median will be the average of the 5th and 6th numbers when arranged in ascending order.
When arranged in ascending order: 5, 6, 10, 16, 18, 19, 20, 22, 24, 27
The 5th and 6th numbers are 18 and 19.
Median of Group B = (18 + 19) / 2 = 18.5
Difference in medians:
Median of Group A - Median of Group B = 28.5 - 18.5 = 10
Therefore, the difference in medians between Group A and Group B is 10.