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 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 whisker on the right (from the box to the maximum value) is longer than the whisker on the left (from the minimum value to the box). So the data is skewed right.

Step2: Analyze the inter - quartile range

The box in a box - plot represents the inter - quartile range (IQR). The IQR is from the first quartile (\(Q_1\)) to the third quartile (\(Q_3\)). In a box - plot, half of the data lies within the IQR. Looking at the box - plot, the box starts at \(Q_1 = 10\) and ends at \(Q_3=40\). So half of the data (half of Steve's friends' number of states visited) 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.