The heights of 10 small trees, in centimetres, are shown.
135139140141142146152155158159
A box plot is constructed for this data.
In which part of the box plot is the value 142 ?
The value 142 is located between the boxplot.

Answer

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Answer

\(\boxed{\text{The value 142 is located in the first part of the box (between Q1 and Q2) in the box plot}}\)

Steps

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 ：\(\boxed{\text{The value 142 is located in the first part of the box (between Q1 and Q2) in the box plot}}\)