Descriptive Statisticshard
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A market researcher is analyzing the modal class of household sizes from a grouped frequency table:

| Household Size | Frequency | |---|---| | 1–2 | 15 | | 3–4 | 40 | | 5–6 | 25 | | 7–8 | 10 |

Using the standard interpolation formula for the mode: Mode=L+(f1f02f1f0f2)h\text{Mode} = L + \left(\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right) h, where class boundaries are continuous (e.g., 2.5 to 4.5 for the modal class, giving h=2h=2). What is the interpolated mode?