Box Plot Iqr 489D0C
1. **Problem:** Which of the following can be obtained from any box-and-whisker diagram? Options: A. Mean, B. Mode, C. Standard deviation, D. Inter-quartile range.
2. **Explanation:** A box-and-whisker diagram (box plot) visually shows the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum of a data set.
3. **Important rules:**
- The mean is the average and is not directly shown in a box plot.
- The mode is the most frequent value and is not shown in a box plot.
- The standard deviation measures spread but is not shown in a box plot.
- The inter-quartile range (IQR) is the difference between Q3 and Q1 and is represented by the length of the box.
4. **Conclusion:** The only value that can be obtained from any box-and-whisker diagram is the inter-quartile range.
**Final answer:** D. Inter-quartile range