Questions: Find the mean of the quiz scores in the table to the right. Value Frequency 3 4 8 4 13 2 15 4 The mean is (Round to the nearest tenth.)

Solution Steps

To find the mean of the quiz scores given their frequencies, we need to:

1. Multiply each score by its frequency to get the total sum of all scores.
2. Sum up all the frequencies to get the total number of scores.
3. Divide the total sum of scores by the total number of scores.
4. Round the result to the nearest tenth.

To find the total sum of all scores, we multiply each score by its frequency and then sum these products: \[ \text{Total Sum} = (3 \times 4) + (8 \times 4) + (13 \times 2) + (15 \times 4) = 12 + 32 + 26 + 60 = 130 \]

To find the total number of scores, we sum all the frequencies: \[ \text{Total Count} = 4 + 4 + 2 + 4 = 14 \]

The mean is calculated by dividing the total sum of scores by the total number of scores: \[ \text{Mean} = \frac{\text{Total Sum}}{\text{Total Count}} = \frac{130}{14} \approx 9.2857 \]

Rounding the mean to the nearest tenth: \[ \text{Mean Rounded} = 9.3 \]

Final Answer