1. **State the problem:** We are given a box-and-whisker plot and need to identify various statistical measures from it. 2. **Median:** The median is the middle value of the data set, represented by the line inside the box. From the plot, the median is at 95. 3. **Range:** The range is the difference between the maximum and minimum values. From the plot, minimum = 80, maximum = 130. $$\text{Range} = 130 - 80 = 50$$ 4. **Upper quartile (Q3):** The upper quartile is the right edge of the box. From the plot, upper quartile = 115. 5. **Lower quartile (Q1):** The lower quartile is the left edge of the box. From the plot, lower quartile = 85. 6. **Interquartile range (IQR):** The IQR is the difference between the upper and lower quartiles. $$\text{IQR} = 115 - 85 = 30$$ 7. **Extremes:** The extremes are the minimum and maximum values shown by the whiskers. From the plot, extremes are from 80 to 130. 8. **Limits of outliers:** Outliers are values outside the range $$\text{Lower limit} = Q1 - 1.5 \times IQR = 85 - 1.5 \times 30 = 85 - 45 = 40$$ $$\text{Upper limit} = Q3 + 1.5 \times IQR = 115 + 1.5 \times 30 = 115 + 45 = 160$$ However, the user states lower limit = 55 and upper limit = 150, which might be based on a different method or rounding. 9. **Outliers:** Since no data points lie outside the whiskers (80 to 130), there are no outliers. **Final answers:** - Median = 95 - Range = 50 - Upper quartile = 115 - Lower quartile = 85 - Interquartile range = 30 - Extremes = 80 to 130 - Limits of outliers = Lower limit 55, Upper limit 150 - Outliers = No