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: , where class boundaries are continuous (e.g., 2.5 to 4.5 for the modal class, giving ). What is the interpolated mode?
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: , where class boundaries are continuous (e.g., 2.5 to 4.5 for the modal class, giving ). What is the interpolated mode?