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A decision tree is used to predict whether a student is likely to play football using the training data below. The algorithm uses the attribute

A decision tree is used to predict whether a student is likely to play football using the training data below. The algorithm uses the attribute selection method to identify the split that produces more sub-nodes that are homogeneous.

Calculate the Gini index and Information Gain for a split on Gender and a split of Class .Show all your steps.

Determine which split should be used on the decision tree (split for Gender or split for Class attribute) if you use:

Gini index

Information gain

Students

Gender

Class

Play Football

1

Female

B

Yes

2

Female

A

Yes

3

Female

B

No

4

Female

B

No

5

Female

B

No

6

Female

B

No

7

Female

A

No

8

Female

A

No

9

Male

B

Yes

10

Male

B

Yes

11

Male

B

Yes

12

Male

B

Yes

13

Male

B

Yes

14

Male

A

Yes

15

Male

A

Yes

16

Male

B

Yes

17

Male

A

No

18

Male

B

No

19

Male

B

No

20

Male

B

No

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