Tales by Dots and Lines — Question 4

We can determine it by examining the dot plots. In dot plot A, most song lengths are between 5 and 6.5 minutes, so the mean is likely around 5.57 minutes. In dot plots B and C, all song lengths are below 5.57 minutes, so their means cannot exceed 5.57. Therefore, dot plot A is the one with a mean of 5.57 minutes. Check: For Album A Data values = 5, 5, 5.25, 5.5, 5.75, 6, 6.5 Mean = \(\frac{5+5+5.25+5.5+5.75+6+6.5}{7}\) = \(\frac {39}{7}\) = 5.57 minutes For Album B Data values = 0.5, 0.75, 1.5, 1.5, 2, 3.75, 4.25, 5 Mean = \(\frac{0.5+0.75+1.5+1.5+2+3.75+4.25+5}{8}\) = \(\frac {19.25}{8}\) = 2.41 minutes For Album C Data values = 3.5, 3.5, 3.5, 4, 4, 4, 4.25, 4.5 Mean = \(\frac{3.5+3.5+3.5+4+4+4+4.25+4.5}{8}\) = \(\frac {30.75}{8}\) = 3.9 minutes Album (A) has a mean of 5.57 minutes.