Questions: The following are the ratings of men by women in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5 -number summary. 1.0 1.5 2.5 2.5 3.0 3.0 3.5 3.5 3.5 3.5 3.5 4.0 4.0 4.0 4.0 4.0 5.0 5.5 6.0 6.0 The 5 -number summary is , , , , and (Use ascending order. Type integers or decimals. Do not round.) Which boxplot below represents the data? A. B. C. D.

Solution Steps

First, we need to organize the given data in ascending order: 1.0, 1.5, 2.5, 3.0, 3.0, 3.5, 3.5, 3.5, 4.0, 4.0, 4.0, 4.0, 4.0, 4.5, 5.0, 5.0, 5.5, 6.0, 6.0

The minimum value is 1.0 and the maximum value is 6.0.

The median is the middle value of the data set. Since there are 19 data points, the median is the 10th value: Median (Q2) = 4.0

The first quartile (Q1) is the median of the first half of the data (excluding the overall median): First half: 1.0, 1.5, 2.5, 3.0, 3.0, 3.5, 3.5, 3.5, 4.0 Median of the first half (Q1) = 3.0

The third quartile (Q3) is the median of the second half of the data (excluding the overall median): Second half: 4.0, 4.0, 4.0, 4.5, 5.0, 5.0, 5.5, 6.0, 6.0 Median of the second half (Q3) = 5.0

Final Answer