Discretize the numeric data using 10-bins method

To discretize numeric data using 10-bins method, you can follow these steps:

1. Determine the range of your data: Find the minimum and maximum values of your numeric data.

2. Calculate the bin width: Calculate the difference between the maximum and minimum values, and divide it by the number of bins you want to create. In this case, we want to create 10 bins, so divide the range by 10.

3. Create the bins: Starting from the minimum value, create 10 equal-sized bins by adding the bin width to the previous bin's upper limit. The upper limit of the last bin should be equal to the maximum value.

4. Assign data points to bins: For each data point, find the bin it belongs to by comparing its value to the upper limit of each bin. If the data point is less than or equal to the upper limit of a bin, assign it to that bin.

5. Replace numeric values with bin labels: Once all data points have been assigned to bins, replace their numeric values with a label representing the bin they belong to. For example, if the bins are numbered from 1 to 10, a data point that belongs to the third bin would be labeled as "3".

Here's an example:

Suppose you have the following numeric data:

2, 5, 7, 10, 11, 13, 15, 18, 21, 25

1. The range of the data is from 2 to 25.

2. The bin width is (25 - 2) / 10 = 2.3 (rounded up to 3).

3. The 10 bins are:

Bin 1: 2 - 4
Bin 2: 5 - 7
Bin 3: 8 - 10
Bin 4: 11 - 13
Bin 5: 14 - 16
Bin 6: 17 - 19
Bin 7: 20 - 22
Bin 8: 23 - 25

4. Assign data points to bins:

2 is in Bin 1
5 is in Bin 2
7 is in Bin 2
10 is in Bin 3
11 is in Bin 4
13 is in Bin 4
15 is in Bin 5
18 is in Bin 6
21 is in Bin 7
25 is in Bin 8

5. Replace numeric values with bin labels:

2 -> 1
5 -> 2
7 -> 2
10 -> 3
11 -> 4
13 -> 4
15 -> 5
18 -> 6
21 -> 7
25 -> 8

So the discretized data using 10-bins method would be:

1, 2, 2, 3, 4, 4, 5, 6, 7, 8