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The box plot below represents the lengths, in inches, of fish a group of friends caught.

What is the interquartile range of the data?

The box plot below represents the lengths, in inches, of fish a group of friends caught-example-1
User Imwilsonxu
by
8.5k points

2 Answers

6 votes

Answer:

IQR = 3.5

Explanation:

Explanation of the given box plot:

  • The closed circles at either end are the minimum and maximum
  • The middle vertical line of the box is the median
  • The left side of the box is the first quartile
  • The right side of the box is the third quartile

Therefore, the Five-number summary of the given box plot is:

  • Minimum = 3
  • First quartile (Q₁) = 4.5
  • Median (Q₂) = 6
  • Third quartile (Q₃) = 8
  • Maximum = 13


\begin{aligned}\textsf{Interquartile range (IQR)} & = \sf Q_3-Q_1\\& = \sf 8 - 4.5\\&= \sf 3.5\end{aligned}

User Racso
by
8.7k points
4 votes

Answer:

  • 3.5

Explanation:

According to the box plot we have

  • Q1 = the 25% mark of data = 4.5 and
  • Q3 = the 75% mark of data = 8

The IQR is the difference of the two numbers above

  • IQR = Q3 - Q1 = 8 - 4.5 = 3.5
User Aminography
by
7.6k points

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