the following are the ratings of men by women in an experiment involving speed dating. use the given data to…
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 2.0 2.5 2.5 2.5 2.5 3.5 3.5 3.5 3.5 3.5 4.0 5.0 6.0 6.0 6.0 6.5 6.5 7.0 8.0 the 5 - number summary is 1.0, 2.5, 3.5, 6, and 8.0. (use ascending order. type integers or decimals. do not round.) which of the following boxplots best represents the data?
Answer
Explanation:
Step1: Recall box - plot elements
A box - plot has a box from the first quartile ($Q_1$) to the third quartile ($Q_3$), a line inside the box at the median ($Q_2$), and whiskers from the box to the minimum and maximum values. Here, the minimum is 1.0, $Q_1 = 2.5$, the median ($Q_2$) is 3.5, $Q_3=6$, and the maximum is 8.0.
Step2: Analyze box - plot options
We look for a box - plot where the left - hand side of the box starts at 2.5, the line inside the box is at 3.5, the right - hand side of the box is at 6, and the whiskers extend to 1.0 and 8.0.
Answer:
We cannot determine the exact answer without seeing the details of each box - plot option clearly. But the correct box - plot should have the following characteristics: The left end of the box at 2.5, the middle line of the box at 3.5, the right end of the box at 6, and whiskers extending to 1.0 (left - most) and 8.0 (right - most).