Question

What is the interquartile range of the number of days represented on Kelly's line plot? Be sure to show your work and explain your reasoning.

Answer 1

The ordered list of the given plot is:

0, 0, 2, 2, 2, 3, 4, 4, 5, 5, 5, 7, 7

The first interquartile is given by:

IQ = Q3 - Q1

Where Q3 and Q1:

`\begin{gathered} Q_1=(1)/(4)(n+1) \\ Q_3=(3)/(4)(n+1) \end{gathered}`

where n = 8 is the total number of data.

`\begin{gathered} Q_1=(1)/(4)(8+1)=(1)/(4)(9)=(9)/(4) \\ Q_3=(3)/(4)(8+1)=(3)/(4)(9)=(27)/(4) \end{gathered}`

Then, the interquatile range:

IQ = 27/4 - 9/4 = 18/4

Hence, the interquartile range is 18/4