3 A student conducts an investigation into the number of hours spent cooking per week by people who live in village A. The student represents the data in the cumulative frequency diagram below.
\section*{Hours spent cooking per week by people who live in village A}
\includegraphics[max width=\textwidth, alt={}, center]{ce94c1ea-ffe5-42d0-8f8a-43c47105d6bf-3_796_1494_918_233}
- How many people were involved in the investigation?
- Use the copy of the diagram in the Printed Answer Booklet to determine an estimate for the interquartile range.
The student conducts a similar investigation into the number of hours spent cooking per week by 200 people who live in village B.
The interquartile range is found to be 3.9 hours.
- Explain whether the evidence suggests that the number of hours spent cooking by people who live in village B is more variable, equally variable or less variable than the number of hours spent cooking by people who live in village A .