Question

Steve determined the number of states each of his friends has visited. Which statement must be true according to the box plot?

A. The data is skewed left and shows that half of Steve’s friends have visited 4 to 10 states.

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

C. The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.

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

Answer 1

C. The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.

Explanation:

Data

quartile 1 (Q1): 4

quartile 2 (Q2, median): 8

quartile 3 (Q3): 10

Interquartile range (IQR): 4 to 10

Lower value: 1

Higher value: 40

Data range from Lower value to median: 1 to 8

Data range from median to Higher value: 8 to 40

From IQR we know that 50% of data, i.e. half of Steve’s friends, have visited 4 to 10 states.

The bigger distance between median to Higher value than Lower value to median means the data is skewed right.

Answer 2

the answer is (c) C. The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.