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Question
which value for x completes the conditional relative frequency table by column? 0.17 0.25 0.40 0.85 paint color preference
Step1: Recall the formula for conditional relative frequency by column
The formula for conditional relative frequency by column is \(\frac{\text{Frequency in cell}}{\text{Column total}}\).
Step2: Calculate \(x\)
We know that for the column (let's assume the column we are considering here), the column total is \(0.77\). The formula for \(x\) (since it is in the column with total \(0.77\)): \(x=\frac{0.17}{0.77}\approx 0.22\) (This is wrong approach, actually looking at the structure of conditional - relative - frequency - by - column. If we consider the column for "Adults" (assuming the first column). The formula for conditional relative frequency by column: \(x = \frac{0.17}{1.0}\) (if we assume the column total is \(1.0\) for the "Adults" - related column calculation, no, wait, looking at the structure of two - way frequency table for conditional relative frequency by column. The correct formula is \(x=\frac{0.17}{1.0}\) (because in conditional relative frequency by column, we divide by the column total. If we assume the column for which we calculate \(x\) has a total of \(1.0\) (since the sum of relative frequencies in a column for conditional relative frequency by column is \(1\)). So \(x = 0.17\)
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\(0.17\)