Smoothing by bin means
Unsorted data for price in dollars
Before sorting: 8 16, 9, 15, 21, 21, 24, 30, 26, 27, 30, 34
First of all, sort the data
After Sorting: 8, 9, 15, 16, 21, 21, 24, 26, 27, 30, 30, 34
Smoothing the data by equal frequency bins
Bin 1: 8, 9, 15, 16
Bin 2: 21, 21, 24, 26,
Bin 3: 27, 30, 30, 34
Smoothing by bin means
For Bin 1:
(8+ 9 + 15 +16 / 4) = 12
(4 indicating the total values like 8, 9 , 15, 16)
Bin 1 = 12, 12, 12, 12
For Bin 2:
(21 + 21 + 24 + 26 / 4) = 23
Bin 2 = 23, 23, 23, 23
For Bin 3:
(27 + 30 + 30 + 34 / 4) = 30
Bin 3 = 30, 30, 30, 30
Smoothing by bin boundaries
How to smooth data by bin boundaries?
You need to pick the minimum and maximum value. Put the minimum on the left side and maximum on the right side.
Now, what will happen to the middle values?
Middle values in bin boundaries move to its closest neighbor value with less distance.
Unsorted data for price in dollars:
Before sorting: 8 16, 9, 15, 21, 21, 24, 30, 26, 27, 30, 34
First of all, sort the data
After sorting: 8, 9, 15, 16, 21, 21, 24, 26, 27, 30, 30, 34
Smoothing the data by equal frequency bins
Bin 1: 8, 9, 15, 16
Bin 2: 21, 21, 24, 26,
Bin 3: 27, 30, 30, 34
Smooth data after bin Boundary
Before bin Boundary: Bin 1: 8, 9, 15, 16
Here, 1 is the minimum value and 16 is the maximum value.9 is near to 8, so 9 will be treated as 8. 15 is more near to 16 and farther away from 8. So, 15 will be treated as 16.
After bin Boundary: Bin 1: 8, 8, 16, 16
Before bin Boundary: Bin 2: 21, 21, 24, 26,
After bin Boundary: Bin 2: 21, 21, 26, 26,
Before bin Boundary: Bin 3: 27, 30, 30, 34
After bin Boundary: Bin 3: 27, 27, 27, 34
Example of binning for data smoothing
Sorted data for Age: 3, 7, 8, 13, 22, 22, 22, 26, 26, 28, 30, 37
Sorted Data
| How to smooth the data by bin means? |
| Bin 1: 8, 8, 8, 8 Bin 2: 23, 23, 23, 23 Bin 3: 30, 30, 30, 30 |
| How to smooth the data by bin boundaries? |
| Bin 1: 3, 3, 3, 13 Bin 2: 22, 22, 22, 26 Bin 3: 26, 26, 26, 37 |
