1. **State the problem:** We are comparing two box plots representing hours of television watched per week by 12-17 year-old girls and boys.
2. **Given data from box plots:**
- Girls: minimum ~12, Q1 ~16, median ~19, Q3 ~22, maximum ~26
- Boys: minimum ~14, Q1 ~18, median ~22, Q3 ~26, maximum ~30
3. **Formulas and definitions:**
- Mean is the average value (not directly given, so we estimate from box plots).
- Median is the middle value.
- Interquartile range (IQR) = Q3 - Q1.
4. **Calculate IQRs:**
- Girls: $$IQR_g = 22 - 16 = 6$$
- Boys: $$IQR_b = 26 - 18 = 8$$
5. **Compare medians:**
- Girls median = 19
- Boys median = 22
6. **Estimate means:**
- Since box plots are skewed, mean is roughly near median but can be influenced by min and max.
- Boys have higher min and max, so mean likely greater for boys.
7. **Evaluate statements:**
- A: Mean boys > mean girls? Likely true due to higher range.
- B: Number of boys watching TV > number of girls? Cannot determine from box plots (no count data).
- C: IQR girls = 6, IQR boys = 8, rounded to nearest whole number not equal, so false.
- D: Median boys (22) > median girls (19), true.
**Final answers:** A and D are correct.
Tv Hours Comparison 063Dbe
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