Free Throw Frequency 3952Ad
1. **State the problem:** We have 8 players each shooting 2 free throws. We want to find the relative frequency distribution of the number of free throws made by each player.
2. **Identify possible outcomes:** Each player can make 0, 1, or 2 free throws.
3. **Count the number of made free throws for each player:**
- Rahul: XX = 0 made
- Amit: OO = 2 made
- Anna: XO = 1 made
- Divya: OX = 1 made
- Denz: OO = 2 made
- Kiran: XO = 1 made
- Sara: XO = 1 made
- Romain: OO = 2 made
4. **Tally the frequencies:**
- 0 made: 1 player (Rahul)
- 1 made: 4 players (Anna, Divya, Kiran, Sara)
- 2 made: 3 players (Amit, Denz, Romain)
5. **Calculate relative frequencies:**
Relative frequency = (frequency) / (total players) = frequency / 8
- 0 made: $\frac{1}{8} = 0.125$
- 1 made: $\frac{4}{8} = 0.5$
- 2 made: $\frac{3}{8} = 0.375$
6. **Interpretation:** The relative frequency plot will have bars at 0, 1, and 2 free throws made with heights 0.125, 0.5, and 0.375 respectively.
This shows that most players made exactly 1 free throw, some made 2, and one player missed both.
Final relative frequencies:
- 0 made: 0.125
- 1 made: 0.5
- 2 made: 0.375