Comparing two data sets
The question
How many MADs apart are the two means?
How many MADs apart are the two means?
A:30 + 30 + 31 + 32 + 37 = 160, ÷ 5 =32
A:30 + 30 + 31 + 32 + 37 = 160, ÷ 5 =32
B:32 + 35 + 36 + 38 + 39 = 180, ÷ 5 =36
A:30 + 30 + 31 + 32 + 37 = 160, ÷ 5 =32
B:32 + 35 + 36 + 38 + 39 = 180, ÷ 5 =36
36 − 32 =4
36 − 32 =4
MAD = 2, so 4 ÷ 2 =2
- Find each set's mean first. Start with A.
- Now B's mean, the same way.
- B sits 36 − 32 = 4 above A. But is that a big gap? It depends on how spread out the data is.
- So measure the gap in MADs. Both have a MAD of 2, so the two means are 4 ÷ 2 = 2 MADs apart.
How it works.
- 01
Find each set's mean first. Start with A.
- 02
Now B's mean, the same way.
- 03
B sits 36 − 32 = 4 above A. But is that a big gap? It depends on how spread out the data is.
- 04
So measure the gap in MADs. Both have a MAD of 2, so the two means are 4 ÷ 2 = 2 MADs apart.