Subjects statistics

Mean Flyers 9Fb4Db

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1. **State the problem:** We need to calculate the mean number of flyers Thomas received per day given the frequency distribution. 2. **Formula for mean:** The mean $\bar{x}$ for a frequency distribution is given by $$\bar{x} = \frac{\sum (x_i \times f_i)}{\sum f_i}$$ where $x_i$ is the value and $f_i$ is the frequency. 3. **Calculate the total frequency:** $$\sum f_i = 3 + 1 + 4 + 2 + 3 + 1 = 14$$ 4. **Calculate the sum of products $x_i \times f_i$:** $$0 \times 3 + 1 \times 1 + 2 \times 4 + 3 \times 2 + 4 \times 3 + 5 \times 1 = 0 + 1 + 8 + 6 + 12 + 5 = 32$$ 5. **Calculate the mean:** $$\bar{x} = \frac{32}{14}$$ 6. **Simplify the fraction:** $$\bar{x} = \frac{\cancel{32}}{\cancel{14}} = 2.2857...$$ 7. **Round to 1 decimal place:** $$\bar{x} \approx 2.3$$ **Final answer:** The mean number of flyers Thomas received per day is **2.3**.