Student Class

You are tasked with creating a Python class that models a Student with the attributes: name, and a list of scores for different subjects. This class should include methods to add a score, calculate the average score, and determine the grade based on the average.

The class should work as follows:

The Student class should be initialized with name (string). It should also have a scores attribute which is a list that stores the scores for different subjects.

The Student class should have a method add_score(self, score) that accepts a score (float) and adds it to the scores list.

The Student class should have a method average(self) that calculates and returns the average score of the student.

The Student class should have a method grade(self) that calculates the grade based on the average score and returns it.

Note: For the purposes of this exercise, you may assume that the grading system is as follows:

Score	Grade
90 - 100	A
80 - 89	B
70 - 79	C
60 - 69	D
0 - 59	F

The program should execute all the commands properly and return the correct values.

Input	Output
`student = Student('Alice'); student.add_score(89.5); student.add_score(78.3); student.add_score(92.4); print(student.average()); print(student.grade()); print(student.name)`	86.733333 B Alice

Constraints

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