Subjects statistics

Tv Hours Comparison 063Dbe

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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.