The mean of the quiz scores, based on the provided frequency distribution, is approximately 8.4 when rounded to the nearest tenth, calculated by weighted averaging of each score.
To determine the mean of the given quiz scores, we use the formula: Mean = (Σ(value × frequency)) / Σ(frequency). Applying this to the provided data, the mean is calculated as (1×3 + 8×2 + 11×2 + 12×5) / (3 + 2 + 2 + 5) = 101 / 12, resulting in approximately 8.4 when rounded to the nearest tenth.
This indicates that, on average, the quiz scores tend towards 8.4. The mean calculation is essential for understanding the central tendency of a dataset, providing a representative value that reflects the overall performance based on the frequency-weighted contributions of each score.