1. State the problem: The weather station recorded high temperatures for 30 days. Find the interval that contains the median temperature.
2. Recall what “median” means:
- The median is the $15$th (and for even counts, the average of the $15$th and $16$th) value when all $30$ days are ordered from coldest to hottest.
3. Use the bar chart frequency counts (Number of Days) for each interval 31–40, 41–50, 51–60, 61–70, 71–80, 81–90.
4. Find where the ordered data reaches the $15$th value:
- Compute the cumulative totals from the lowest interval upward.
- The median interval is the interval where the cumulative total first reaches $15$ (or covers both the $15$th and $16$th values).
5. Final answer: The median temperature lies in the interval whose cumulative frequency includes the 15th and 16th ordered days.
Median Interval 1E569A
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.