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 steve’s friends have visited 4 to 10 states the data is skewed left and shows that half of steve’s friends have visited 10 to 40 states the data is skewed right and shows that half of steve’s friends have visited 4 to 10 states the data is skewed right and shows that half of steve’s friends have visited 10 to 40 states

Explanation:

Step1: Analyze box - plot skewness

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

Step2: Recall box - plot quartile property

The box in a box - plot represents the inter - quartile range (IQR), which contains 50% of the data. The lower end of the box is the first quartile ($Q_1$) and the upper end is the third quartile ($Q_3$). From the box - plot, $Q_1 = 10$ and $Q_3=40$. This means that half of the data (50% of Steve's friends) have values between 10 and 40.

Answer:

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