1. **State the problem:** Cameron took 4 tests with scores 100, 60, 80, and 30. He took a 5th test scored $x$. The mean of all 5 tests is 72. Find $x$.
2. **Formula for mean:** The mean of $n$ numbers is given by $$\text{mean} = \frac{\text{sum of all scores}}{n}$$
3. **Apply the formula:** Here, $n=5$ and mean is 72, so
$$72 = \frac{100 + 60 + 80 + 30 + x}{5}$$
4. **Calculate the sum of known scores:**
$$100 + 60 + 80 + 30 = 270$$
5. **Substitute and solve for $x$:**
$$72 = \frac{270 + x}{5}$$
Multiply both sides by 5:
$$5 \times 72 = 270 + x$$
$$360 = 270 + x$$
6. **Isolate $x$:**
$$x = 360 - 270$$
$$x = 90$$
7. **Answer:** The value of $x$ is 90, which corresponds to option D.
Mean Score 06Cec3
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.