Question

steve determined the number of states each of his friends has visited number of states visited which statement must be true according to the box plot? the data is skewed left and shows that half of steves friends have visited 4 to 10 states the data is skewed left and shows that half of steves friends have visited 10 to 40 states the data is skewed right and shows that half of steves friends have visited 4 to 10 states the data is skewed right and shows that half of steves friends have visited 10 to 40 states

Explanation:

Step1: Analyze the skewness of the box - plot

In a box - plot, if the whisker on the right side is longer than the whisker on the left side, the data is skewed right. Here, the right - hand whisker is longer, so the data is skewed right.

Step2: Recall the property of the box - plot

The box in a box - plot represents the inter - quartile range (IQR), which contains 50% of the data. The left - hand side of the box is \(Q_1\) (first quartile) and the right - hand side is \(Q_3\) (third quartile). From the box - plot, \(Q_1 = 10\) and \(Q_3=40\). So, half of the data (the IQR) lies between \(Q_1\) and \(Q_3\)

Answer:

The data is skewed right and shows that half of Steve’s friends have visited 10 to 40 states.