Step 1 :Given data: \(135, 139, 140, 141, 142, 146, 152, 155, 158, 159\)
Step 2 :Calculate the quartiles (Q1, Q2, and Q3):
Step 3 :\(Q1 = 140.25\)
Step 4 :\(Q2 = 144.0\)
Step 5 :\(Q3 = 154.25\)
Step 6 :Determine the location of the value 142:
Step 7 :\(142 > Q1\) and \(142 < Q2\)
Step 8 :\(\boxed{\text{The value 142 is located in the first part of the box (between Q1 and Q2) in the box plot}}\)