To find how many students are in the club, add all the frequencies.

The frequencies are:

• Age 13: $10$ students
• Age 14: $24$ students
• Age 15: $8$ students
• Age 16: $5$ students
• Age 17: $3$ students

So the total number of students is:

$$10 + 24 + 8 + 5 + 3$$

Add step by step:

$$10 + 24 = 34$$ $$34 + 8 = 42$$ $$42 + 5 = 47$$ $$47 + 3 = 50$$

Therefore, the number of students in the club is:

$$50$$

So the correct answer is A) 50.