Mean Score 4Aee6A
1. **Stating the problem:**
Calculate the mean score of students in the literature quiz using the grouped frequency distribution table provided.
2. **Formula used:**
The mean for grouped data is given by:
$$\bar{x} = \frac{\sum f x}{\sum f}$$
where $f$ is the frequency and $x$ is the class mark.
3. **Important rules:**
- Multiply each class mark $x$ by its corresponding frequency $f$ to get $fx$.
- Sum all $fx$ values to get $\sum fx$.
- Sum all frequencies $f$ to get $\sum f$.
- Divide $\sum fx$ by $\sum f$ to find the mean.
4. **Intermediate work:**
From the table:
$$\sum fx = 64 + 143 + 266 + 357 + 360 + 276 + 78 + 29 = 1573$$
$$\sum f = 8 + 13 + 19 + 21 + 18 + 12 + 3 + 1 = 95$$
5. **Calculation:**
$$\bar{x} = \frac{1573}{95} \approx 16.56$$
6. **Explanation:**
The mean score of the students is approximately 16.56. This means on average, students scored about 16.56 in the literature quiz.