Subjects statistics

Mean Calculation A3Dd70

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1. The problem is to find the mean $\bar{x}$ from the given frequency distribution table. 2. The formula for the mean of grouped data is: $$\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$$ where $f_i$ is the frequency and $x_i$ is the class mark. 3. From the table, sum of frequencies $\sum f_i = 8 + 10 + 19 + 11 + 5 + 3 = 56$. 4. Sum of $f_i x_i$ (the FX product column) is $356 + 545 + 12255 + 819.5 + 422.5 + 285 = 14883$. 5. Calculate the mean: $$\bar{x} = \frac{14883}{56} = 265.77$$ 6. Therefore, the mean of the data is approximately $265.77$. 7. Since you requested a pie chart, it would represent the frequency distribution of the classes visually, but as per instructions, only the JSON with the Desmos latex function is included here.