Respuesta :

Solution

The picture below is the solution to the problem

Brief explanantion

From the data given, It is obvious that:

Minimum = 2

Maximum =

The total number of the data is 3, so the number 7th term is the median

Thus,

Median = 8

To find Q1

[tex]\begin{gathered} Q_1=\frac{1}{4}(n+1)th\text{ term} \\ Q_1=\frac{1}{4}(13+1)=\frac{14}{4}=3.5 \end{gathered}[/tex]

Q1 is between the third and fourth term

Therefore, Q1 is

[tex]Q_1=0.5(4)+0.5(6)=5[/tex]

Similarly, to find Q3

[tex]\begin{gathered} Q_3=\frac{3}{4}(n+1)th\text{ term} \\ Q_3=\frac{3}{4}(13+1)=3\times\frac{14}{4}=3\times3.5=10.5 \end{gathered}[/tex]

Q3 is between the tenth and the eleventh term

Therefore, Q3 is

[tex]Q_3=0.5(11)+0.5(11)=11[/tex]

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